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Finding the Fourth Proportional to 85,534.41, 118,032.43 and 47,290.96

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Solution

The fourth proportional to 85,534.41, 118,032.43 and 47,290.96 is: 65,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,534.41 : 118,032.43 = 47,290.96 : x
  2. Step 2: Convert to fraction form
    85,534.41/118,032.43 = 47,290.96/x
  3. Step 3: Cross multiply
    85,534.41x = 118,032.43 × 47,290.96
  4. Step 4: Simplify right side
    85,534.41x = 5,581,866,689.38
  5. Step 5: Solve for x
    x = 5,581,866,689.38/85,534.41
  6. Step 6: Final answer
    x = 65,258.73

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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.