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Finding the Fourth Proportional to 42,407.50, 58,522.36 and 23,544.76

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Solution

The fourth proportional to 42,407.50, 58,522.36 and 23,544.76 is: 32,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,407.50 : 58,522.36 = 23,544.76 : x
  2. Step 2: Convert to fraction form
    42,407.50/58,522.36 = 23,544.76/x
  3. Step 3: Cross multiply
    42,407.50x = 58,522.36 × 23,544.76
  4. Step 4: Simplify right side
    42,407.50x = 1,377,894,920.83
  5. Step 5: Solve for x
    x = 1,377,894,920.83/42,407.50
  6. Step 6: Final answer
    x = 32,491.77

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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.