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Finding the Fourth Proportional to 56,280.12, 77,663.52 and 31,128

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Solution

The fourth proportional to 56,280.12, 77,663.52 and 31,128 is: 42,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,280.12 : 77,663.52 = 31,128 : x
  2. Step 2: Convert to fraction form
    56,280.12/77,663.52 = 31,128/x
  3. Step 3: Cross multiply
    56,280.12x = 77,663.52 × 31,128
  4. Step 4: Simplify right side
    56,280.12x = 2,417,510,050.56
  5. Step 5: Solve for x
    x = 2,417,510,050.56/56,280.12
  6. Step 6: Final answer
    x = 42,954.96

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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.