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Finding the Fourth Proportional to 38,117.34, 52,628.18 and 29,149.22

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Solution

The fourth proportional to 38,117.34, 52,628.18 and 29,149.22 is: 40,245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,117.34 : 52,628.18 = 29,149.22 : x
  2. Step 2: Convert to fraction form
    38,117.34/52,628.18 = 29,149.22/x
  3. Step 3: Cross multiply
    38,117.34x = 52,628.18 × 29,149.22
  4. Step 4: Simplify right side
    38,117.34x = 1,534,069,988.13
  5. Step 5: Solve for x
    x = 1,534,069,988.13/38,117.34
  6. Step 6: Final answer
    x = 40,245.99

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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.