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Finding the Fourth Proportional to 56,232.50, 77,510.57 and 38,077.47

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Solution

The fourth proportional to 56,232.50, 77,510.57 and 38,077.47 is: 52,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,232.50 : 77,510.57 = 38,077.47 : x
  2. Step 2: Convert to fraction form
    56,232.50/77,510.57 = 38,077.47/x
  3. Step 3: Cross multiply
    56,232.50x = 77,510.57 × 38,077.47
  4. Step 4: Simplify right side
    56,232.50x = 2,951,406,213.47
  5. Step 5: Solve for x
    x = 2,951,406,213.47/56,232.50
  6. Step 6: Final answer
    x = 52,485.78

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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.