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Finding the Fourth Proportional to 53,189.97, 73,301.13 and 38,056.38

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Solution

The fourth proportional to 53,189.97, 73,301.13 and 38,056.38 is: 52,445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,189.97 : 73,301.13 = 38,056.38 : x
  2. Step 2: Convert to fraction form
    53,189.97/73,301.13 = 38,056.38/x
  3. Step 3: Cross multiply
    53,189.97x = 73,301.13 × 38,056.38
  4. Step 4: Simplify right side
    53,189.97x = 2,789,575,657.71
  5. Step 5: Solve for x
    x = 2,789,575,657.71/53,189.97
  6. Step 6: Final answer
    x = 52,445.52

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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.