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Finding the Fourth Proportional to 102,815.70, 154,223.55 and 32,702.10

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Solution

The fourth proportional to 102,815.70, 154,223.55 and 32,702.10 is: 49,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,815.70 : 154,223.55 = 32,702.10 : x
  2. Step 2: Convert to fraction form
    102,815.70/154,223.55 = 32,702.10/x
  3. Step 3: Cross multiply
    102,815.70x = 154,223.55 × 32,702.10
  4. Step 4: Simplify right side
    102,815.70x = 5,043,433,954.46
  5. Step 5: Solve for x
    x = 5,043,433,954.46/102,815.70
  6. Step 6: Final answer
    x = 49,053.15

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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.