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Finding the Fourth Proportional to 32,049.61, 48,078.97 and 9,864.82

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Solution

The fourth proportional to 32,049.61, 48,078.97 and 9,864.82 is: 14,798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.61 : 48,078.97 = 9,864.82 : x
  2. Step 2: Convert to fraction form
    32,049.61/48,078.97 = 9,864.82/x
  3. Step 3: Cross multiply
    32,049.61x = 48,078.97 × 9,864.82
  4. Step 4: Simplify right side
    32,049.61x = 474,290,420.27
  5. Step 5: Solve for x
    x = 474,290,420.27/32,049.61
  6. Step 6: Final answer
    x = 14,798.63

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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.