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Finding the Fourth Proportional to 52,796.46, 72,831.50 and 32,646.90

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Solution

The fourth proportional to 52,796.46, 72,831.50 and 32,646.90 is: 45,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,796.46 : 72,831.50 = 32,646.90 : x
  2. Step 2: Convert to fraction form
    52,796.46/72,831.50 = 32,646.90/x
  3. Step 3: Cross multiply
    52,796.46x = 72,831.50 × 32,646.90
  4. Step 4: Simplify right side
    52,796.46x = 2,377,722,697.35
  5. Step 5: Solve for x
    x = 2,377,722,697.35/52,796.46
  6. Step 6: Final answer
    x = 45,035.65

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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.