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Finding the Fourth Proportional to 40,957.50, 61,446 and 13,255.50

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Solution

The fourth proportional to 40,957.50, 61,446 and 13,255.50 is: 19,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,957.50 : 61,446 = 13,255.50 : x
  2. Step 2: Convert to fraction form
    40,957.50/61,446 = 13,255.50/x
  3. Step 3: Cross multiply
    40,957.50x = 61,446 × 13,255.50
  4. Step 4: Simplify right side
    40,957.50x = 814,497,453
  5. Step 5: Solve for x
    x = 814,497,453/40,957.50
  6. Step 6: Final answer
    x = 19,886.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.