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Finding the Fourth Proportional to 56,414.34, 77,848.29 and 31,264.02

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Solution

The fourth proportional to 56,414.34, 77,848.29 and 31,264.02 is: 43,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,414.34 : 77,848.29 = 31,264.02 : x
  2. Step 2: Convert to fraction form
    56,414.34/77,848.29 = 31,264.02/x
  3. Step 3: Cross multiply
    56,414.34x = 77,848.29 × 31,264.02
  4. Step 4: Simplify right side
    56,414.34x = 2,433,850,495.53
  5. Step 5: Solve for x
    x = 2,433,850,495.53/56,414.34
  6. Step 6: Final answer
    x = 43,142.41

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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.