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Finding the Fourth Proportional to 42,652.50, 58,857.78 and 23,532.50

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Solution

The fourth proportional to 42,652.50, 58,857.78 and 23,532.50 is: 32,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,652.50 : 58,857.78 = 23,532.50 : x
  2. Step 2: Convert to fraction form
    42,652.50/58,857.78 = 23,532.50/x
  3. Step 3: Cross multiply
    42,652.50x = 58,857.78 × 23,532.50
  4. Step 4: Simplify right side
    42,652.50x = 1,385,070,707.85
  5. Step 5: Solve for x
    x = 1,385,070,707.85/42,652.50
  6. Step 6: Final answer
    x = 32,473.38

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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.