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Finding the Fourth Proportional to 32,489.40, 48,735.84 and 10,304.52

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Solution

The fourth proportional to 32,489.40, 48,735.84 and 10,304.52 is: 15,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,489.40 : 48,735.84 = 10,304.52 : x
  2. Step 2: Convert to fraction form
    32,489.40/48,735.84 = 10,304.52/x
  3. Step 3: Cross multiply
    32,489.40x = 48,735.84 × 10,304.52
  4. Step 4: Simplify right side
    32,489.40x = 502,199,438.00
  5. Step 5: Solve for x
    x = 502,199,438.00/32,489.40
  6. Step 6: Final answer
    x = 15,457.33

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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.