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Finding the Fourth Proportional to 52,321.98, 78,482.79 and 14,371.29

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Solution

The fourth proportional to 52,321.98, 78,482.79 and 14,371.29 is: 21,556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,321.98 : 78,482.79 = 14,371.29 : x
  2. Step 2: Convert to fraction form
    52,321.98/78,482.79 = 14,371.29/x
  3. Step 3: Cross multiply
    52,321.98x = 78,482.79 × 14,371.29
  4. Step 4: Simplify right side
    52,321.98x = 1,127,898,935.10
  5. Step 5: Solve for x
    x = 1,127,898,935.10/52,321.98
  6. Step 6: Final answer
    x = 21,556.89

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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.