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Finding the Fourth Proportional to 52,264.86, 78,398.64 and 14,826.12

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Solution

The fourth proportional to 52,264.86, 78,398.64 and 14,826.12 is: 22,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,264.86 : 78,398.64 = 14,826.12 : x
  2. Step 2: Convert to fraction form
    52,264.86/78,398.64 = 14,826.12/x
  3. Step 3: Cross multiply
    52,264.86x = 78,398.64 × 14,826.12
  4. Step 4: Simplify right side
    52,264.86x = 1,162,347,644.48
  5. Step 5: Solve for x
    x = 1,162,347,644.48/52,264.86
  6. Step 6: Final answer
    x = 22,239.56

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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.