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Finding the Fourth Proportional to 32,549.40, 48,831.20 and 13,845.40

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Solution

The fourth proportional to 32,549.40, 48,831.20 and 13,845.40 is: 20,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,549.40 : 48,831.20 = 13,845.40 : x
  2. Step 2: Convert to fraction form
    32,549.40/48,831.20 = 13,845.40/x
  3. Step 3: Cross multiply
    32,549.40x = 48,831.20 × 13,845.40
  4. Step 4: Simplify right side
    32,549.40x = 676,087,496.48
  5. Step 5: Solve for x
    x = 676,087,496.48/32,549.40
  6. Step 6: Final answer
    x = 20,771.12

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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.