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Finding the Fourth Proportional to 83,291.53, 114,943.26 and 45,051.85

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Solution

The fourth proportional to 83,291.53, 114,943.26 and 45,051.85 is: 62,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,291.53 : 114,943.26 = 45,051.85 : x
  2. Step 2: Convert to fraction form
    83,291.53/114,943.26 = 45,051.85/x
  3. Step 3: Cross multiply
    83,291.53x = 114,943.26 × 45,051.85
  4. Step 4: Simplify right side
    83,291.53x = 5,178,406,508.03
  5. Step 5: Solve for x
    x = 5,178,406,508.03/83,291.53
  6. Step 6: Final answer
    x = 62,172.07

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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.