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Finding the Fourth Proportional to 69,165.32, 103,674.06 and 49,383.90

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Solution

The fourth proportional to 69,165.32, 103,674.06 and 49,383.90 is: 74,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,165.32 : 103,674.06 = 49,383.90 : x
  2. Step 2: Convert to fraction form
    69,165.32/103,674.06 = 49,383.90/x
  3. Step 3: Cross multiply
    69,165.32x = 103,674.06 × 49,383.90
  4. Step 4: Simplify right side
    69,165.32x = 5,119,829,411.63
  5. Step 5: Solve for x
    x = 5,119,829,411.63/69,165.32
  6. Step 6: Final answer
    x = 74,023.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.