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Finding the Fourth Proportional to 83,014.85, 114,525.82 and 54,341.53

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Solution

The fourth proportional to 83,014.85, 114,525.82 and 54,341.53 is: 74,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,014.85 : 114,525.82 = 54,341.53 : x
  2. Step 2: Convert to fraction form
    83,014.85/114,525.82 = 54,341.53/x
  3. Step 3: Cross multiply
    83,014.85x = 114,525.82 × 54,341.53
  4. Step 4: Simplify right side
    83,014.85x = 6,223,508,283.30
  5. Step 5: Solve for x
    x = 6,223,508,283.30/83,014.85
  6. Step 6: Final answer
    x = 74,968.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.