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Finding the Fourth Proportional to 85,079.16, 117,407.28 and 47,356.92

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Solution

The fourth proportional to 85,079.16, 117,407.28 and 47,356.92 is: 65,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,079.16 : 117,407.28 = 47,356.92 : x
  2. Step 2: Convert to fraction form
    85,079.16/117,407.28 = 47,356.92/x
  3. Step 3: Cross multiply
    85,079.16x = 117,407.28 × 47,356.92
  4. Step 4: Simplify right side
    85,079.16x = 5,560,047,166.38
  5. Step 5: Solve for x
    x = 5,560,047,166.38/85,079.16
  6. Step 6: Final answer
    x = 65,351.46

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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.