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Finding the Fourth Proportional to 42,503.89, 58,654.19 and 23,122.16

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Solution

The fourth proportional to 42,503.89, 58,654.19 and 23,122.16 is: 31,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,503.89 : 58,654.19 = 23,122.16 : x
  2. Step 2: Convert to fraction form
    42,503.89/58,654.19 = 23,122.16/x
  3. Step 3: Cross multiply
    42,503.89x = 58,654.19 × 23,122.16
  4. Step 4: Simplify right side
    42,503.89x = 1,356,211,565.85
  5. Step 5: Solve for x
    x = 1,356,211,565.85/42,503.89
  6. Step 6: Final answer
    x = 31,907.94

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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.