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Finding the Fourth Proportional to 97,628.80, 146,470.76 and 27,508.72

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Solution

The fourth proportional to 97,628.80, 146,470.76 and 27,508.72 is: 41,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,628.80 : 146,470.76 = 27,508.72 : x
  2. Step 2: Convert to fraction form
    97,628.80/146,470.76 = 27,508.72/x
  3. Step 3: Cross multiply
    97,628.80x = 146,470.76 × 27,508.72
  4. Step 4: Simplify right side
    97,628.80x = 4,029,223,125.03
  5. Step 5: Solve for x
    x = 4,029,223,125.03/97,628.80
  6. Step 6: Final answer
    x = 41,270.85

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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.