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Finding the Fourth Proportional to 32,465.19, 48,706.42 and 10,279.02

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Solution

The fourth proportional to 32,465.19, 48,706.42 and 10,279.02 is: 15,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.19 : 48,706.42 = 10,279.02 : x
  2. Step 2: Convert to fraction form
    32,465.19/48,706.42 = 10,279.02/x
  3. Step 3: Cross multiply
    32,465.19x = 48,706.42 × 10,279.02
  4. Step 4: Simplify right side
    32,465.19x = 500,654,265.31
  5. Step 5: Solve for x
    x = 500,654,265.31/32,465.19
  6. Step 6: Final answer
    x = 15,421.26

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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.