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Finding the Fourth Proportional to 42,038.50, 58,011.69 and 23,174.50

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Solution

The fourth proportional to 42,038.50, 58,011.69 and 23,174.50 is: 31,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,038.50 : 58,011.69 = 23,174.50 : x
  2. Step 2: Convert to fraction form
    42,038.50/58,011.69 = 23,174.50/x
  3. Step 3: Cross multiply
    42,038.50x = 58,011.69 × 23,174.50
  4. Step 4: Simplify right side
    42,038.50x = 1,344,391,909.91
  5. Step 5: Solve for x
    x = 1,344,391,909.91/42,038.50
  6. Step 6: Final answer
    x = 31,980.02

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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.