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Finding the Fourth Proportional to 78,831.52, 118,214.64 and 32,052.64

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Solution

The fourth proportional to 78,831.52, 118,214.64 and 32,052.64 is: 48,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,831.52 : 118,214.64 = 32,052.64 : x
  2. Step 2: Convert to fraction form
    78,831.52/118,214.64 = 32,052.64/x
  3. Step 3: Cross multiply
    78,831.52x = 118,214.64 × 32,052.64
  4. Step 4: Simplify right side
    78,831.52x = 3,789,091,298.65
  5. Step 5: Solve for x
    x = 3,789,091,298.65/78,831.52
  6. Step 6: Final answer
    x = 48,065.69

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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.