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Finding the Fourth Proportional to 38,897.28, 53,678.40 and 22,129.92

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Solution

The fourth proportional to 38,897.28, 53,678.40 and 22,129.92 is: 30,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,897.28 : 53,678.40 = 22,129.92 : x
  2. Step 2: Convert to fraction form
    38,897.28/53,678.40 = 22,129.92/x
  3. Step 3: Cross multiply
    38,897.28x = 53,678.40 × 22,129.92
  4. Step 4: Simplify right side
    38,897.28x = 1,187,898,697.73
  5. Step 5: Solve for x
    x = 1,187,898,697.73/38,897.28
  6. Step 6: Final answer
    x = 30,539.38

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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.