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Finding the Fourth Proportional to 117,648.80, 176,516.40 and 47,535.20

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Solution

The fourth proportional to 117,648.80, 176,516.40 and 47,535.20 is: 71,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,648.80 : 176,516.40 = 47,535.20 : x
  2. Step 2: Convert to fraction form
    117,648.80/176,516.40 = 47,535.20/x
  3. Step 3: Cross multiply
    117,648.80x = 176,516.40 × 47,535.20
  4. Step 4: Simplify right side
    117,648.80x = 8,390,742,377.28
  5. Step 5: Solve for x
    x = 8,390,742,377.28/117,648.80
  6. Step 6: Final answer
    x = 71,320.25

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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.