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Finding the Fourth Proportional to 107,064.60, 160,596.42 and 32,184.40

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Solution

The fourth proportional to 107,064.60, 160,596.42 and 32,184.40 is: 48,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,064.60 : 160,596.42 = 32,184.40 : x
  2. Step 2: Convert to fraction form
    107,064.60/160,596.42 = 32,184.40/x
  3. Step 3: Cross multiply
    107,064.60x = 160,596.42 × 32,184.40
  4. Step 4: Simplify right side
    107,064.60x = 5,168,699,419.85
  5. Step 5: Solve for x
    x = 5,168,699,419.85/107,064.60
  6. Step 6: Final answer
    x = 48,276.46

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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.