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Finding the Fourth Proportional to 65,155.32, 97,734.68 and 17,770.80

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Solution

The fourth proportional to 65,155.32, 97,734.68 and 17,770.80 is: 26,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,155.32 : 97,734.68 = 17,770.80 : x
  2. Step 2: Convert to fraction form
    65,155.32/97,734.68 = 17,770.80/x
  3. Step 3: Cross multiply
    65,155.32x = 97,734.68 × 17,770.80
  4. Step 4: Simplify right side
    65,155.32x = 1,736,823,451.34
  5. Step 5: Solve for x
    x = 1,736,823,451.34/65,155.32
  6. Step 6: Final answer
    x = 26,656.66

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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.