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Finding the Fourth Proportional to 32,049.63, 48,079.01 and 9,864.86

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Solution

The fourth proportional to 32,049.63, 48,079.01 and 9,864.86 is: 14,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.63 : 48,079.01 = 9,864.86 : x
  2. Step 2: Convert to fraction form
    32,049.63/48,079.01 = 9,864.86/x
  3. Step 3: Cross multiply
    32,049.63x = 48,079.01 × 9,864.86
  4. Step 4: Simplify right side
    32,049.63x = 474,292,412.87
  5. Step 5: Solve for x
    x = 474,292,412.87/32,049.63
  6. Step 6: Final answer
    x = 14,798.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.