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Finding the Fourth Proportional to 38,405.10, 53,001.09 and 22,490.76

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Solution

The fourth proportional to 38,405.10, 53,001.09 and 22,490.76 is: 31,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,405.10 : 53,001.09 = 22,490.76 : x
  2. Step 2: Convert to fraction form
    38,405.10/53,001.09 = 22,490.76/x
  3. Step 3: Cross multiply
    38,405.10x = 53,001.09 × 22,490.76
  4. Step 4: Simplify right side
    38,405.10x = 1,192,034,794.93
  5. Step 5: Solve for x
    x = 1,192,034,794.93/38,405.10
  6. Step 6: Final answer
    x = 31,038.45

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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.