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Finding the Fourth Proportional to 107,075.70, 160,613.55 and 32,207.40

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Solution

The fourth proportional to 107,075.70, 160,613.55 and 32,207.40 is: 48,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,075.70 : 160,613.55 = 32,207.40 : x
  2. Step 2: Convert to fraction form
    107,075.70/160,613.55 = 32,207.40/x
  3. Step 3: Cross multiply
    107,075.70x = 160,613.55 × 32,207.40
  4. Step 4: Simplify right side
    107,075.70x = 5,172,944,850.27
  5. Step 5: Solve for x
    x = 5,172,944,850.27/107,075.70
  6. Step 6: Final answer
    x = 48,311.10

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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.