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Finding the Fourth Proportional to 32,964.60, 49,463.10 and 15,431.40

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Solution

The fourth proportional to 32,964.60, 49,463.10 and 15,431.40 is: 23,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.60 : 49,463.10 = 15,431.40 : x
  2. Step 2: Convert to fraction form
    32,964.60/49,463.10 = 15,431.40/x
  3. Step 3: Cross multiply
    32,964.60x = 49,463.10 × 15,431.40
  4. Step 4: Simplify right side
    32,964.60x = 763,284,881.34
  5. Step 5: Solve for x
    x = 763,284,881.34/32,964.60
  6. Step 6: Final answer
    x = 23,154.68

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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.