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Finding the Fourth Proportional to 42,428.54, 58,549.74 and 23,566.88

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Solution

The fourth proportional to 42,428.54, 58,549.74 and 23,566.88 is: 32,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,428.54 : 58,549.74 = 23,566.88 : x
  2. Step 2: Convert to fraction form
    42,428.54/58,549.74 = 23,566.88/x
  3. Step 3: Cross multiply
    42,428.54x = 58,549.74 × 23,566.88
  4. Step 4: Simplify right side
    42,428.54x = 1,379,834,696.61
  5. Step 5: Solve for x
    x = 1,379,834,696.61/42,428.54
  6. Step 6: Final answer
    x = 32,521.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.