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Finding the Fourth Proportional to 75,098, 103,637.16 and 45,291.92

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Solution

The fourth proportional to 75,098, 103,637.16 and 45,291.92 is: 62,504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,098 : 103,637.16 = 45,291.92 : x
  2. Step 2: Convert to fraction form
    75,098/103,637.16 = 45,291.92/x
  3. Step 3: Cross multiply
    75,098x = 103,637.16 × 45,291.92
  4. Step 4: Simplify right side
    75,098x = 4,693,925,959.75
  5. Step 5: Solve for x
    x = 4,693,925,959.75/75,098
  6. Step 6: Final answer
    x = 62,504.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.