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Finding the Fourth Proportional to 32,043.24, 48,071.75 and 9,856.13

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Solution

The fourth proportional to 32,043.24, 48,071.75 and 9,856.13 is: 14,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,043.24 : 48,071.75 = 9,856.13 : x
  2. Step 2: Convert to fraction form
    32,043.24/48,071.75 = 9,856.13/x
  3. Step 3: Cross multiply
    32,043.24x = 48,071.75 × 9,856.13
  4. Step 4: Simplify right side
    32,043.24x = 473,801,127.69
  5. Step 5: Solve for x
    x = 473,801,127.69/32,043.24
  6. Step 6: Final answer
    x = 14,786.31

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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.