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Finding the Fourth Proportional to 42,553.89, 58,734.71 and 24,646

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Solution

The fourth proportional to 42,553.89, 58,734.71 and 24,646 is: 34,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,553.89 : 58,734.71 = 24,646 : x
  2. Step 2: Convert to fraction form
    42,553.89/58,734.71 = 24,646/x
  3. Step 3: Cross multiply
    42,553.89x = 58,734.71 × 24,646
  4. Step 4: Simplify right side
    42,553.89x = 1,447,575,539.43
  5. Step 5: Solve for x
    x = 1,447,575,539.43/42,553.89
  6. Step 6: Final answer
    x = 34,017.47

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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.