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Finding the Fourth Proportional to 74,434.69, 102,694.02 and 47,592.91

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Solution

The fourth proportional to 74,434.69, 102,694.02 and 47,592.91 is: 65,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,434.69 : 102,694.02 = 47,592.91 : x
  2. Step 2: Convert to fraction form
    74,434.69/102,694.02 = 47,592.91/x
  3. Step 3: Cross multiply
    74,434.69x = 102,694.02 × 47,592.91
  4. Step 4: Simplify right side
    74,434.69x = 4,887,507,251.40
  5. Step 5: Solve for x
    x = 4,887,507,251.40/74,434.69
  6. Step 6: Final answer
    x = 65,661.69

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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.