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Finding the Fourth Proportional to 32,957.60, 49,452.60 and 15,424.40

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Solution

The fourth proportional to 32,957.60, 49,452.60 and 15,424.40 is: 23,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,957.60 : 49,452.60 = 15,424.40 : x
  2. Step 2: Convert to fraction form
    32,957.60/49,452.60 = 15,424.40/x
  3. Step 3: Cross multiply
    32,957.60x = 49,452.60 × 15,424.40
  4. Step 4: Simplify right side
    32,957.60x = 762,776,683.44
  5. Step 5: Solve for x
    x = 762,776,683.44/32,957.60
  6. Step 6: Final answer
    x = 23,144.18

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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.