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Finding the Fourth Proportional to 51,489.98, 77,226.98 and 14,053.02

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Solution

The fourth proportional to 51,489.98, 77,226.98 and 14,053.02 is: 21,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,489.98 : 77,226.98 = 14,053.02 : x
  2. Step 2: Convert to fraction form
    51,489.98/77,226.98 = 14,053.02/x
  3. Step 3: Cross multiply
    51,489.98x = 77,226.98 × 14,053.02
  4. Step 4: Simplify right side
    51,489.98x = 1,085,272,294.48
  5. Step 5: Solve for x
    x = 1,085,272,294.48/51,489.98
  6. Step 6: Final answer
    x = 21,077.35

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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.