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Finding the Fourth Proportional to 51,987.80, 77,981.70 and 48,051.20

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Solution

The fourth proportional to 51,987.80, 77,981.70 and 48,051.20 is: 72,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,987.80 : 77,981.70 = 48,051.20 : x
  2. Step 2: Convert to fraction form
    51,987.80/77,981.70 = 48,051.20/x
  3. Step 3: Cross multiply
    51,987.80x = 77,981.70 × 48,051.20
  4. Step 4: Simplify right side
    51,987.80x = 3,747,114,263.04
  5. Step 5: Solve for x
    x = 3,747,114,263.04/51,987.80
  6. Step 6: Final answer
    x = 72,076.80

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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.