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Finding the Fourth Proportional to 85,332.12, 117,758.40 and 47,606.38

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Solution

The fourth proportional to 85,332.12, 117,758.40 and 47,606.38 is: 65,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,332.12 : 117,758.40 = 47,606.38 : x
  2. Step 2: Convert to fraction form
    85,332.12/117,758.40 = 47,606.38/x
  3. Step 3: Cross multiply
    85,332.12x = 117,758.40 × 47,606.38
  4. Step 4: Simplify right side
    85,332.12x = 5,606,051,138.59
  5. Step 5: Solve for x
    x = 5,606,051,138.59/85,332.12
  6. Step 6: Final answer
    x = 65,696.85

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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.