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Finding the Fourth Proportional to 32,200.19, 48,300.04 and 10,013.53

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Solution

The fourth proportional to 32,200.19, 48,300.04 and 10,013.53 is: 15,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.19 : 48,300.04 = 10,013.53 : x
  2. Step 2: Convert to fraction form
    32,200.19/48,300.04 = 10,013.53/x
  3. Step 3: Cross multiply
    32,200.19x = 48,300.04 × 10,013.53
  4. Step 4: Simplify right side
    32,200.19x = 483,653,899.54
  5. Step 5: Solve for x
    x = 483,653,899.54/32,200.19
  6. Step 6: Final answer
    x = 15,020.22

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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.