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Finding the Fourth Proportional to 52,342.72, 78,484.35 and 35,722.89

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Solution

The fourth proportional to 52,342.72, 78,484.35 and 35,722.89 is: 53,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,342.72 : 78,484.35 = 35,722.89 : x
  2. Step 2: Convert to fraction form
    52,342.72/78,484.35 = 35,722.89/x
  3. Step 3: Cross multiply
    52,342.72x = 78,484.35 × 35,722.89
  4. Step 4: Simplify right side
    52,342.72x = 2,803,687,801.77
  5. Step 5: Solve for x
    x = 2,803,687,801.77/52,342.72
  6. Step 6: Final answer
    x = 53,564.04

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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.