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Finding the Fourth Proportional to 56,715.36, 78,257.52 and 31,560

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Solution

The fourth proportional to 56,715.36, 78,257.52 and 31,560 is: 43,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,715.36 : 78,257.52 = 31,560 : x
  2. Step 2: Convert to fraction form
    56,715.36/78,257.52 = 31,560/x
  3. Step 3: Cross multiply
    56,715.36x = 78,257.52 × 31,560
  4. Step 4: Simplify right side
    56,715.36x = 2,469,807,331.20
  5. Step 5: Solve for x
    x = 2,469,807,331.20/56,715.36
  6. Step 6: Final answer
    x = 43,547.42

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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.