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Finding the Fourth Proportional to 85,114.13, 117,461.14 and 47,388.38

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Solution

The fourth proportional to 85,114.13, 117,461.14 and 47,388.38 is: 65,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,114.13 : 117,461.14 = 47,388.38 : x
  2. Step 2: Convert to fraction form
    85,114.13/117,461.14 = 47,388.38/x
  3. Step 3: Cross multiply
    85,114.13x = 117,461.14 × 47,388.38
  4. Step 4: Simplify right side
    85,114.13x = 5,566,292,431.78
  5. Step 5: Solve for x
    x = 5,566,292,431.78/85,114.13
  6. Step 6: Final answer
    x = 65,397.99

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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.