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Finding the Fourth Proportional to 58,638.42, 87,750 and 36,462.24

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Solution

The fourth proportional to 58,638.42, 87,750 and 36,462.24 is: 54,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,638.42 : 87,750 = 36,462.24 : x
  2. Step 2: Convert to fraction form
    58,638.42/87,750 = 36,462.24/x
  3. Step 3: Cross multiply
    58,638.42x = 87,750 × 36,462.24
  4. Step 4: Simplify right side
    58,638.42x = 3,199,561,560
  5. Step 5: Solve for x
    x = 3,199,561,560/58,638.42
  6. Step 6: Final answer
    x = 54,564.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.