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Finding the Fourth Proportional to 52,357.29, 72,223.65 and 34,182.24

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Solution

The fourth proportional to 52,357.29, 72,223.65 and 34,182.24 is: 47,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,357.29 : 72,223.65 = 34,182.24 : x
  2. Step 2: Convert to fraction form
    52,357.29/72,223.65 = 34,182.24/x
  3. Step 3: Cross multiply
    52,357.29x = 72,223.65 × 34,182.24
  4. Step 4: Simplify right side
    52,357.29x = 2,468,766,137.98
  5. Step 5: Solve for x
    x = 2,468,766,137.98/52,357.29
  6. Step 6: Final answer
    x = 47,152.29

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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.