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Finding the Fourth Proportional to 76,546.76, 114,828.78 and 32,165.24

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Solution

The fourth proportional to 76,546.76, 114,828.78 and 32,165.24 is: 48,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,546.76 : 114,828.78 = 32,165.24 : x
  2. Step 2: Convert to fraction form
    76,546.76/114,828.78 = 32,165.24/x
  3. Step 3: Cross multiply
    76,546.76x = 114,828.78 × 32,165.24
  4. Step 4: Simplify right side
    76,546.76x = 3,693,495,267.61
  5. Step 5: Solve for x
    x = 3,693,495,267.61/76,546.76
  6. Step 6: Final answer
    x = 48,251.49

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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.