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Finding the Fourth Proportional to 34,377.84, 51,566.80 and 9,418.10

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Solution

The fourth proportional to 34,377.84, 51,566.80 and 9,418.10 is: 14,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,377.84 : 51,566.80 = 9,418.10 : x
  2. Step 2: Convert to fraction form
    34,377.84/51,566.80 = 9,418.10/x
  3. Step 3: Cross multiply
    34,377.84x = 51,566.80 × 9,418.10
  4. Step 4: Simplify right side
    34,377.84x = 485,661,279.08
  5. Step 5: Solve for x
    x = 485,661,279.08/34,377.84
  6. Step 6: Final answer
    x = 14,127.16

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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.