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Finding the Fourth Proportional to 56,294.32, 77,681.88 and 31,143.28

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Solution

The fourth proportional to 56,294.32, 77,681.88 and 31,143.28 is: 42,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,294.32 : 77,681.88 = 31,143.28 : x
  2. Step 2: Convert to fraction form
    56,294.32/77,681.88 = 31,143.28/x
  3. Step 3: Cross multiply
    56,294.32x = 77,681.88 × 31,143.28
  4. Step 4: Simplify right side
    56,294.32x = 2,419,268,539.77
  5. Step 5: Solve for x
    x = 2,419,268,539.77/56,294.32
  6. Step 6: Final answer
    x = 42,975.36

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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.