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Finding the Fourth Proportional to 52,081.84, 77,969.16 and 32,296.72

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Solution

The fourth proportional to 52,081.84, 77,969.16 and 32,296.72 is: 48,349.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,081.84 : 77,969.16 = 32,296.72 : x
  2. Step 2: Convert to fraction form
    52,081.84/77,969.16 = 32,296.72/x
  3. Step 3: Cross multiply
    52,081.84x = 77,969.16 × 32,296.72
  4. Step 4: Simplify right side
    52,081.84x = 2,518,148,129.16
  5. Step 5: Solve for x
    x = 2,518,148,129.16/52,081.84
  6. Step 6: Final answer
    x = 48,349.83

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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.