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Finding the Fourth Proportional to 32,049, 48,069.18 and 9,559.35

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Solution

The fourth proportional to 32,049, 48,069.18 and 9,559.35 is: 14,337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049 : 48,069.18 = 9,559.35 : x
  2. Step 2: Convert to fraction form
    32,049/48,069.18 = 9,559.35/x
  3. Step 3: Cross multiply
    32,049x = 48,069.18 × 9,559.35
  4. Step 4: Simplify right side
    32,049x = 459,510,115.83
  5. Step 5: Solve for x
    x = 459,510,115.83/32,049
  6. Step 6: Final answer
    x = 14,337.74

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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.