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Finding the Fourth Proportional to 47,407.70, 71,098.59 and 17,823.26

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Solution

The fourth proportional to 47,407.70, 71,098.59 and 17,823.26 is: 26,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,407.70 : 71,098.59 = 17,823.26 : x
  2. Step 2: Convert to fraction form
    47,407.70/71,098.59 = 17,823.26/x
  3. Step 3: Cross multiply
    47,407.70x = 71,098.59 × 17,823.26
  4. Step 4: Simplify right side
    47,407.70x = 1,267,208,655.20
  5. Step 5: Solve for x
    x = 1,267,208,655.20/47,407.70
  6. Step 6: Final answer
    x = 26,730.02

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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.