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Finding the Fourth Proportional to 38,484.12, 53,094.04 and 22,565.48

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Solution

The fourth proportional to 38,484.12, 53,094.04 and 22,565.48 is: 31,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,484.12 : 53,094.04 = 22,565.48 : x
  2. Step 2: Convert to fraction form
    38,484.12/53,094.04 = 22,565.48/x
  3. Step 3: Cross multiply
    38,484.12x = 53,094.04 × 22,565.48
  4. Step 4: Simplify right side
    38,484.12x = 1,198,092,574.06
  5. Step 5: Solve for x
    x = 1,198,092,574.06/38,484.12
  6. Step 6: Final answer
    x = 31,132.13

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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.