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Finding the Fourth Proportional to 83,118.34, 114,699 and 47,308.24

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Solution

The fourth proportional to 83,118.34, 114,699 and 47,308.24 is: 65,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,118.34 : 114,699 = 47,308.24 : x
  2. Step 2: Convert to fraction form
    83,118.34/114,699 = 47,308.24/x
  3. Step 3: Cross multiply
    83,118.34x = 114,699 × 47,308.24
  4. Step 4: Simplify right side
    83,118.34x = 5,426,207,819.76
  5. Step 5: Solve for x
    x = 5,426,207,819.76/83,118.34
  6. Step 6: Final answer
    x = 65,282.92

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