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Finding the Fourth Proportional to 52,406.70, 78,613.92 and 14,969.94

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Solution

The fourth proportional to 52,406.70, 78,613.92 and 14,969.94 is: 22,456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,406.70 : 78,613.92 = 14,969.94 : x
  2. Step 2: Convert to fraction form
    52,406.70/78,613.92 = 14,969.94/x
  3. Step 3: Cross multiply
    52,406.70x = 78,613.92 × 14,969.94
  4. Step 4: Simplify right side
    52,406.70x = 1,176,845,665.56
  5. Step 5: Solve for x
    x = 1,176,845,665.56/52,406.70
  6. Step 6: Final answer
    x = 22,456.02

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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.