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Finding the Fourth Proportional to 56,304, 77,700.24 and 31,152.96

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Solution

The fourth proportional to 56,304, 77,700.24 and 31,152.96 is: 42,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,304 : 77,700.24 = 31,152.96 : x
  2. Step 2: Convert to fraction form
    56,304/77,700.24 = 31,152.96/x
  3. Step 3: Cross multiply
    56,304x = 77,700.24 × 31,152.96
  4. Step 4: Simplify right side
    56,304x = 2,420,592,468.71
  5. Step 5: Solve for x
    x = 2,420,592,468.71/56,304
  6. Step 6: Final answer
    x = 42,991.48

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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.