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Finding the Fourth Proportional to 65,323.60, 90,149 and 37,031.76

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Solution

The fourth proportional to 65,323.60, 90,149 and 37,031.76 is: 51,105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,323.60 : 90,149 = 37,031.76 : x
  2. Step 2: Convert to fraction form
    65,323.60/90,149 = 37,031.76/x
  3. Step 3: Cross multiply
    65,323.60x = 90,149 × 37,031.76
  4. Step 4: Simplify right side
    65,323.60x = 3,338,376,132.24
  5. Step 5: Solve for x
    x = 3,338,376,132.24/65,323.60
  6. Step 6: Final answer
    x = 51,105.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.