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Finding the Fourth Proportional to 70,404.80, 105,584.87 and 23,009.17

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Solution

The fourth proportional to 70,404.80, 105,584.87 and 23,009.17 is: 34,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,404.80 : 105,584.87 = 23,009.17 : x
  2. Step 2: Convert to fraction form
    70,404.80/105,584.87 = 23,009.17/x
  3. Step 3: Cross multiply
    70,404.80x = 105,584.87 × 23,009.17
  4. Step 4: Simplify right side
    70,404.80x = 2,429,420,223.26
  5. Step 5: Solve for x
    x = 2,429,420,223.26/70,404.80
  6. Step 6: Final answer
    x = 34,506.46

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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.