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Finding the Fourth Proportional to 32,469.61, 48,703.88 and 10,282.95

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Solution

The fourth proportional to 32,469.61, 48,703.88 and 10,282.95 is: 15,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469.61 : 48,703.88 = 10,282.95 : x
  2. Step 2: Convert to fraction form
    32,469.61/48,703.88 = 10,282.95/x
  3. Step 3: Cross multiply
    32,469.61x = 48,703.88 × 10,282.95
  4. Step 4: Simplify right side
    32,469.61x = 500,819,267.91
  5. Step 5: Solve for x
    x = 500,819,267.91/32,469.61
  6. Step 6: Final answer
    x = 15,424.25

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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.