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Finding the Fourth Proportional to 38,456.17, 53,071.54 and 22,545.74

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Solution

The fourth proportional to 38,456.17, 53,071.54 and 22,545.74 is: 31,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,456.17 : 53,071.54 = 22,545.74 : x
  2. Step 2: Convert to fraction form
    38,456.17/53,071.54 = 22,545.74/x
  3. Step 3: Cross multiply
    38,456.17x = 53,071.54 × 22,545.74
  4. Step 4: Simplify right side
    38,456.17x = 1,196,537,218.55
  5. Step 5: Solve for x
    x = 1,196,537,218.55/38,456.17
  6. Step 6: Final answer
    x = 31,114.31

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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.