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Finding the Fourth Proportional to 83,534.86, 115,267.77 and 53,337.86

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Solution

The fourth proportional to 83,534.86, 115,267.77 and 53,337.86 is: 73,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,534.86 : 115,267.77 = 53,337.86 : x
  2. Step 2: Convert to fraction form
    83,534.86/115,267.77 = 53,337.86/x
  3. Step 3: Cross multiply
    83,534.86x = 115,267.77 × 53,337.86
  4. Step 4: Simplify right side
    83,534.86x = 6,148,136,034.69
  5. Step 5: Solve for x
    x = 6,148,136,034.69/83,534.86
  6. Step 6: Final answer
    x = 73,599.64

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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.