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Finding the Fourth Proportional to 32,259.20, 44,516.32 and 18,831.20

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Solution

The fourth proportional to 32,259.20, 44,516.32 and 18,831.20 is: 25,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,259.20 : 44,516.32 = 18,831.20 : x
  2. Step 2: Convert to fraction form
    32,259.20/44,516.32 = 18,831.20/x
  3. Step 3: Cross multiply
    32,259.20x = 44,516.32 × 18,831.20
  4. Step 4: Simplify right side
    32,259.20x = 838,295,725.18
  5. Step 5: Solve for x
    x = 838,295,725.18/32,259.20
  6. Step 6: Final answer
    x = 25,986.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.