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Finding the Fourth Proportional to 70,710.59, 106,065.84 and 20,791.10

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Solution

The fourth proportional to 70,710.59, 106,065.84 and 20,791.10 is: 31,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,710.59 : 106,065.84 = 20,791.10 : x
  2. Step 2: Convert to fraction form
    70,710.59/106,065.84 = 20,791.10/x
  3. Step 3: Cross multiply
    70,710.59x = 106,065.84 × 20,791.10
  4. Step 4: Simplify right side
    70,710.59x = 2,205,225,751.19
  5. Step 5: Solve for x
    x = 2,205,225,751.19/70,710.59
  6. Step 6: Final answer
    x = 31,186.64

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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.