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Finding the Fourth Proportional to 42,294.50, 58,368.86 and 23,174.31

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Solution

The fourth proportional to 42,294.50, 58,368.86 and 23,174.31 is: 31,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,294.50 : 58,368.86 = 23,174.31 : x
  2. Step 2: Convert to fraction form
    42,294.50/58,368.86 = 23,174.31/x
  3. Step 3: Cross multiply
    42,294.50x = 58,368.86 × 23,174.31
  4. Step 4: Simplify right side
    42,294.50x = 1,352,658,055.99
  5. Step 5: Solve for x
    x = 1,352,658,055.99/42,294.50
  6. Step 6: Final answer
    x = 31,981.89

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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.