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Finding the Fourth Proportional to 52,295.84, 78,410.48 and 24,178.31

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Solution

The fourth proportional to 52,295.84, 78,410.48 and 24,178.31 is: 36,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,295.84 : 78,410.48 = 24,178.31 : x
  2. Step 2: Convert to fraction form
    52,295.84/78,410.48 = 24,178.31/x
  3. Step 3: Cross multiply
    52,295.84x = 78,410.48 × 24,178.31
  4. Step 4: Simplify right side
    52,295.84x = 1,895,832,379.74
  5. Step 5: Solve for x
    x = 1,895,832,379.74/52,295.84
  6. Step 6: Final answer
    x = 36,252.07

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Why These Related Problems?

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