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Finding the Fourth Proportional to 38,699.57, 53,416.46 and 22,793.20

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Solution

The fourth proportional to 38,699.57, 53,416.46 and 22,793.20 is: 31,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,699.57 : 53,416.46 = 22,793.20 : x
  2. Step 2: Convert to fraction form
    38,699.57/53,416.46 = 22,793.20/x
  3. Step 3: Cross multiply
    38,699.57x = 53,416.46 × 22,793.20
  4. Step 4: Simplify right side
    38,699.57x = 1,217,531,979.51
  5. Step 5: Solve for x
    x = 1,217,531,979.51/38,699.57
  6. Step 6: Final answer
    x = 31,461.12

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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.