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Finding the Fourth Proportional to 42,792, 59,048.42 and 23,668.74

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Solution

The fourth proportional to 42,792, 59,048.42 and 23,668.74 is: 32,660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,792 : 59,048.42 = 23,668.74 : x
  2. Step 2: Convert to fraction form
    42,792/59,048.42 = 23,668.74/x
  3. Step 3: Cross multiply
    42,792x = 59,048.42 × 23,668.74
  4. Step 4: Simplify right side
    42,792x = 1,397,601,700.39
  5. Step 5: Solve for x
    x = 1,397,601,700.39/42,792
  6. Step 6: Final answer
    x = 32,660.35

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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.