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Finding the Fourth Proportional to 52,252.78, 78,434.52 and 32,545.21

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Solution

The fourth proportional to 52,252.78, 78,434.52 and 32,545.21 is: 48,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,252.78 : 78,434.52 = 32,545.21 : x
  2. Step 2: Convert to fraction form
    52,252.78/78,434.52 = 32,545.21/x
  3. Step 3: Cross multiply
    52,252.78x = 78,434.52 × 32,545.21
  4. Step 4: Simplify right side
    52,252.78x = 2,552,667,924.65
  5. Step 5: Solve for x
    x = 2,552,667,924.65/52,252.78
  6. Step 6: Final answer
    x = 48,852.29

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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.