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Finding the Fourth Proportional to 52,352.91, 78,499.50 and 35,733.06

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Solution

The fourth proportional to 52,352.91, 78,499.50 and 35,733.06 is: 53,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,352.91 : 78,499.50 = 35,733.06 : x
  2. Step 2: Convert to fraction form
    52,352.91/78,499.50 = 35,733.06/x
  3. Step 3: Cross multiply
    52,352.91x = 78,499.50 × 35,733.06
  4. Step 4: Simplify right side
    52,352.91x = 2,805,027,343.47
  5. Step 5: Solve for x
    x = 2,805,027,343.47/52,352.91
  6. Step 6: Final answer
    x = 53,579.21

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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.