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Finding the Fourth Proportional to 70,689.30, 106,051.38 and 35,167.48

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Solution

The fourth proportional to 70,689.30, 106,051.38 and 35,167.48 is: 52,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,689.30 : 106,051.38 = 35,167.48 : x
  2. Step 2: Convert to fraction form
    70,689.30/106,051.38 = 35,167.48/x
  3. Step 3: Cross multiply
    70,689.30x = 106,051.38 × 35,167.48
  4. Step 4: Simplify right side
    70,689.30x = 3,729,559,785.12
  5. Step 5: Solve for x
    x = 3,729,559,785.12/70,689.30
  6. Step 6: Final answer
    x = 52,759.89

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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.