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Finding the Fourth Proportional to 32,484.64, 48,721.44 and 9,105.70

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Solution

The fourth proportional to 32,484.64, 48,721.44 and 9,105.70 is: 13,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,484.64 : 48,721.44 = 9,105.70 : x
  2. Step 2: Convert to fraction form
    32,484.64/48,721.44 = 9,105.70/x
  3. Step 3: Cross multiply
    32,484.64x = 48,721.44 × 9,105.70
  4. Step 4: Simplify right side
    32,484.64x = 443,642,816.21
  5. Step 5: Solve for x
    x = 443,642,816.21/32,484.64
  6. Step 6: Final answer
    x = 13,657.00

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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.