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Finding the Fourth Proportional to 74,147.16, 102,284.94 and 50,265.72

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Solution

The fourth proportional to 74,147.16, 102,284.94 and 50,265.72 is: 69,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,147.16 : 102,284.94 = 50,265.72 : x
  2. Step 2: Convert to fraction form
    74,147.16/102,284.94 = 50,265.72/x
  3. Step 3: Cross multiply
    74,147.16x = 102,284.94 × 50,265.72
  4. Step 4: Simplify right side
    74,147.16x = 5,141,426,154.26
  5. Step 5: Solve for x
    x = 5,141,426,154.26/74,147.16
  6. Step 6: Final answer
    x = 69,340.84

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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.