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Finding the Fourth Proportional to 85,411, 117,867.72 and 47,685.52

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Solution

The fourth proportional to 85,411, 117,867.72 and 47,685.52 is: 65,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,411 : 117,867.72 = 47,685.52 : x
  2. Step 2: Convert to fraction form
    85,411/117,867.72 = 47,685.52/x
  3. Step 3: Cross multiply
    85,411x = 117,867.72 × 47,685.52
  4. Step 4: Simplify right side
    85,411x = 5,620,583,519.41
  5. Step 5: Solve for x
    x = 5,620,583,519.41/85,411
  6. Step 6: Final answer
    x = 65,806.32

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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.