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Finding the Fourth Proportional to 51,307.80, 76,988.31 and 38,824.08

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Solution

The fourth proportional to 51,307.80, 76,988.31 and 38,824.08 is: 58,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,307.80 : 76,988.31 = 38,824.08 : x
  2. Step 2: Convert to fraction form
    51,307.80/76,988.31 = 38,824.08/x
  3. Step 3: Cross multiply
    51,307.80x = 76,988.31 × 38,824.08
  4. Step 4: Simplify right side
    51,307.80x = 2,989,000,306.50
  5. Step 5: Solve for x
    x = 2,989,000,306.50/51,307.80
  6. Step 6: Final answer
    x = 58,256.26

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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.