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Finding the Fourth Proportional to 38,475.72, 53,089.56 and 22,343.76

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Solution

The fourth proportional to 38,475.72, 53,089.56 and 22,343.76 is: 30,830.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475.72 : 53,089.56 = 22,343.76 : x
  2. Step 2: Convert to fraction form
    38,475.72/53,089.56 = 22,343.76/x
  3. Step 3: Cross multiply
    38,475.72x = 53,089.56 × 22,343.76
  4. Step 4: Simplify right side
    38,475.72x = 1,186,220,387.15
  5. Step 5: Solve for x
    x = 1,186,220,387.15/38,475.72
  6. Step 6: Final answer
    x = 30,830.36

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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.