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Finding the Fourth Proportional to 71,446.71, 107,168.95 and 17,412.01

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Solution

The fourth proportional to 71,446.71, 107,168.95 and 17,412.01 is: 26,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,446.71 : 107,168.95 = 17,412.01 : x
  2. Step 2: Convert to fraction form
    71,446.71/107,168.95 = 17,412.01/x
  3. Step 3: Cross multiply
    71,446.71x = 107,168.95 × 17,412.01
  4. Step 4: Simplify right side
    71,446.71x = 1,866,026,829.09
  5. Step 5: Solve for x
    x = 1,866,026,829.09/71,446.71
  6. Step 6: Final answer
    x = 26,117.74

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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.