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Finding the Fourth Proportional to 71,054.76, 106,465.50 and 24,282.12

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Solution

The fourth proportional to 71,054.76, 106,465.50 and 24,282.12 is: 36,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,054.76 : 106,465.50 = 24,282.12 : x
  2. Step 2: Convert to fraction form
    71,054.76/106,465.50 = 24,282.12/x
  3. Step 3: Cross multiply
    71,054.76x = 106,465.50 × 24,282.12
  4. Step 4: Simplify right side
    71,054.76x = 2,585,208,046.86
  5. Step 5: Solve for x
    x = 2,585,208,046.86/71,054.76
  6. Step 6: Final answer
    x = 36,383.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.