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Finding the Fourth Proportional to 56,300, 77,694.08 and 31,151.20

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Solution

The fourth proportional to 56,300, 77,694.08 and 31,151.20 is: 42,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,300 : 77,694.08 = 31,151.20 : x
  2. Step 2: Convert to fraction form
    56,300/77,694.08 = 31,151.20/x
  3. Step 3: Cross multiply
    56,300x = 77,694.08 × 31,151.20
  4. Step 4: Simplify right side
    56,300x = 2,420,263,824.90
  5. Step 5: Solve for x
    x = 2,420,263,824.90/56,300
  6. Step 6: Final answer
    x = 42,988.70

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