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Finding the Fourth Proportional to 42,315.90, 58,402.16 and 24,407.42

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Solution

The fourth proportional to 42,315.90, 58,402.16 and 24,407.42 is: 33,685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,315.90 : 58,402.16 = 24,407.42 : x
  2. Step 2: Convert to fraction form
    42,315.90/58,402.16 = 24,407.42/x
  3. Step 3: Cross multiply
    42,315.90x = 58,402.16 × 24,407.42
  4. Step 4: Simplify right side
    42,315.90x = 1,425,445,633.98
  5. Step 5: Solve for x
    x = 1,425,445,633.98/42,315.90
  6. Step 6: Final answer
    x = 33,685.82

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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.