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Finding the Fourth Proportional to 52,051.67, 71,831.29 and 28,178.33

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Solution

The fourth proportional to 52,051.67, 71,831.29 and 28,178.33 is: 38,886.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,051.67 : 71,831.29 = 28,178.33 : x
  2. Step 2: Convert to fraction form
    52,051.67/71,831.29 = 28,178.33/x
  3. Step 3: Cross multiply
    52,051.67x = 71,831.29 × 28,178.33
  4. Step 4: Simplify right side
    52,051.67x = 2,024,085,793.95
  5. Step 5: Solve for x
    x = 2,024,085,793.95/52,051.67
  6. Step 6: Final answer
    x = 38,886.09

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