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Finding the Fourth Proportional to 117,348.30, 176,022.45 and 38,465.10

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Solution

The fourth proportional to 117,348.30, 176,022.45 and 38,465.10 is: 57,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,348.30 : 176,022.45 = 38,465.10 : x
  2. Step 2: Convert to fraction form
    117,348.30/176,022.45 = 38,465.10/x
  3. Step 3: Cross multiply
    117,348.30x = 176,022.45 × 38,465.10
  4. Step 4: Simplify right side
    117,348.30x = 6,770,721,141.50
  5. Step 5: Solve for x
    x = 6,770,721,141.50/117,348.30
  6. Step 6: Final answer
    x = 57,697.65

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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.