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Finding the Fourth Proportional to 38,605,612.16, 57,908,380.98 and 9,851,747.78

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Solution

The fourth proportional to 38,605,612.16, 57,908,380.98 and 9,851,747.78 is: 14,777,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,605,612.16 : 57,908,380.98 = 9,851,747.78 : x
  2. Step 2: Convert to fraction form
    38,605,612.16/57,908,380.98 = 9,851,747.78/x
  3. Step 3: Cross multiply
    38,605,612.16x = 57,908,380.98 × 9,851,747.78
  4. Step 4: Simplify right side
    38,605,612.16x = 570,498,763,763,109.12
  5. Step 5: Solve for x
    x = 570,498,763,763,109.12/38,605,612.16
  6. Step 6: Final answer
    x = 14,777,612.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.