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Finding the Fourth Proportional to 32,242.70, 48,356.70 and 12,248.04

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Solution

The fourth proportional to 32,242.70, 48,356.70 and 12,248.04 is: 18,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,242.70 : 48,356.70 = 12,248.04 : x
  2. Step 2: Convert to fraction form
    32,242.70/48,356.70 = 12,248.04/x
  3. Step 3: Cross multiply
    32,242.70x = 48,356.70 × 12,248.04
  4. Step 4: Simplify right side
    32,242.70x = 592,274,795.87
  5. Step 5: Solve for x
    x = 592,274,795.87/32,242.70
  6. Step 6: Final answer
    x = 18,369.27

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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.