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Finding the Fourth Proportional to 102,329.54, 153,486.82 and 32,228.90

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Solution

The fourth proportional to 102,329.54, 153,486.82 and 32,228.90 is: 48,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,329.54 : 153,486.82 = 32,228.90 : x
  2. Step 2: Convert to fraction form
    102,329.54/153,486.82 = 32,228.90/x
  3. Step 3: Cross multiply
    102,329.54x = 153,486.82 × 32,228.90
  4. Step 4: Simplify right side
    102,329.54x = 4,946,711,373.10
  5. Step 5: Solve for x
    x = 4,946,711,373.10/102,329.54
  6. Step 6: Final answer
    x = 48,340.99

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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.