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Finding the Fourth Proportional to 102,597.54, 153,920.00 and 32,476.85

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Solution

The fourth proportional to 102,597.54, 153,920.00 and 32,476.85 is: 48,722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,597.54 : 153,920.00 = 32,476.85 : x
  2. Step 2: Convert to fraction form
    102,597.54/153,920.00 = 32,476.85/x
  3. Step 3: Cross multiply
    102,597.54x = 153,920.00 × 32,476.85
  4. Step 4: Simplify right side
    102,597.54x = 4,998,836,458.11
  5. Step 5: Solve for x
    x = 4,998,836,458.11/102,597.54
  6. Step 6: Final answer
    x = 48,722.77

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1.5x scale

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.