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Finding the Fourth Proportional to 71,857.00, 107,831.64 and 48,191.28

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Solution

The fourth proportional to 71,857.00, 107,831.64 and 48,191.28 is: 72,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,857.00 : 107,831.64 = 48,191.28 : x
  2. Step 2: Convert to fraction form
    71,857.00/107,831.64 = 48,191.28/x
  3. Step 3: Cross multiply
    71,857.00x = 107,831.64 × 48,191.28
  4. Step 4: Simplify right side
    71,857.00x = 5,196,544,036.22
  5. Step 5: Solve for x
    x = 5,196,544,036.22/71,857.00
  6. Step 6: Final answer
    x = 72,317.85

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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.