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Finding the Fourth Proportional to 42,191.38, 58,225.92 and 23,328.50

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Solution

The fourth proportional to 42,191.38, 58,225.92 and 23,328.50 is: 32,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,191.38 : 58,225.92 = 23,328.50 : x
  2. Step 2: Convert to fraction form
    42,191.38/58,225.92 = 23,328.50/x
  3. Step 3: Cross multiply
    42,191.38x = 58,225.92 × 23,328.50
  4. Step 4: Simplify right side
    42,191.38x = 1,358,323,374.72
  5. Step 5: Solve for x
    x = 1,358,323,374.72/42,191.38
  6. Step 6: Final answer
    x = 32,194.34

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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.