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Finding the Fourth Proportional to 65,221.32, 97,776.72 and 25,806.24

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Solution

The fourth proportional to 65,221.32, 97,776.72 and 25,806.24 is: 38,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,221.32 : 97,776.72 = 25,806.24 : x
  2. Step 2: Convert to fraction form
    65,221.32/97,776.72 = 25,806.24/x
  3. Step 3: Cross multiply
    65,221.32x = 97,776.72 × 25,806.24
  4. Step 4: Simplify right side
    65,221.32x = 2,523,249,502.73
  5. Step 5: Solve for x
    x = 2,523,249,502.73/65,221.32
  6. Step 6: Final answer
    x = 38,687.50

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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.