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Finding the Fourth Proportional to 83,071.94, 114,641.87 and 47,267.10

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Solution

The fourth proportional to 83,071.94, 114,641.87 and 47,267.10 is: 65,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,071.94 : 114,641.87 = 47,267.10 : x
  2. Step 2: Convert to fraction form
    83,071.94/114,641.87 = 47,267.10/x
  3. Step 3: Cross multiply
    83,071.94x = 114,641.87 × 47,267.10
  4. Step 4: Simplify right side
    83,071.94x = 5,418,788,497.14
  5. Step 5: Solve for x
    x = 5,418,788,497.14/83,071.94
  6. Step 6: Final answer
    x = 65,230.07

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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.