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Finding the Fourth Proportional to 109,587.76, 164,373.54 and 53,253.88

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Solution

The fourth proportional to 109,587.76, 164,373.54 and 53,253.88 is: 79,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,587.76 : 164,373.54 = 53,253.88 : x
  2. Step 2: Convert to fraction form
    109,587.76/164,373.54 = 53,253.88/x
  3. Step 3: Cross multiply
    109,587.76x = 164,373.54 × 53,253.88
  4. Step 4: Simplify right side
    109,587.76x = 8,753,528,774.34
  5. Step 5: Solve for x
    x = 8,753,528,774.34/109,587.76
  6. Step 6: Final answer
    x = 79,876.88

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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.