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Finding the Fourth Proportional to 83,010.60, 114,564.45 and 47,205.99

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Solution

The fourth proportional to 83,010.60, 114,564.45 and 47,205.99 is: 65,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,010.60 : 114,564.45 = 47,205.99 : x
  2. Step 2: Convert to fraction form
    83,010.60/114,564.45 = 47,205.99/x
  3. Step 3: Cross multiply
    83,010.60x = 114,564.45 × 47,205.99
  4. Step 4: Simplify right side
    83,010.60x = 5,408,128,281.06
  5. Step 5: Solve for x
    x = 5,408,128,281.06/83,010.60
  6. Step 6: Final answer
    x = 65,149.85

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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.