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Finding the Fourth Proportional to 42,655, 58,862.64 and 24,748.78

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Solution

The fourth proportional to 42,655, 58,862.64 and 24,748.78 is: 34,152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,655 : 58,862.64 = 24,748.78 : x
  2. Step 2: Convert to fraction form
    42,655/58,862.64 = 24,748.78/x
  3. Step 3: Cross multiply
    42,655x = 58,862.64 × 24,748.78
  4. Step 4: Simplify right side
    42,655x = 1,456,778,527.58
  5. Step 5: Solve for x
    x = 1,456,778,527.58/42,655
  6. Step 6: Final answer
    x = 34,152.59

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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.