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Finding the Fourth Proportional to 117,523, 176,309.80 and 36,468.42

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Solution

The fourth proportional to 117,523, 176,309.80 and 36,468.42 is: 54,710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,523 : 176,309.80 = 36,468.42 : x
  2. Step 2: Convert to fraction form
    117,523/176,309.80 = 36,468.42/x
  3. Step 3: Cross multiply
    117,523x = 176,309.80 × 36,468.42
  4. Step 4: Simplify right side
    117,523x = 6,429,739,836.52
  5. Step 5: Solve for x
    x = 6,429,739,836.52/117,523
  6. Step 6: Final answer
    x = 54,710.48

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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.