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Finding the Fourth Proportional to 83,266.25, 114,904.58 and 47,467.79

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Solution

The fourth proportional to 83,266.25, 114,904.58 and 47,467.79 is: 65,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,266.25 : 114,904.58 = 47,467.79 : x
  2. Step 2: Convert to fraction form
    83,266.25/114,904.58 = 47,467.79/x
  3. Step 3: Cross multiply
    83,266.25x = 114,904.58 × 47,467.79
  4. Step 4: Simplify right side
    83,266.25x = 5,454,266,523.40
  5. Step 5: Solve for x
    x = 5,454,266,523.40/83,266.25
  6. Step 6: Final answer
    x = 65,503.93

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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.