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Finding the Fourth Proportional to 70,237.60, 105,209.20 and 32,829.60

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Solution

The fourth proportional to 70,237.60, 105,209.20 and 32,829.60 is: 49,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,237.60 : 105,209.20 = 32,829.60 : x
  2. Step 2: Convert to fraction form
    70,237.60/105,209.20 = 32,829.60/x
  3. Step 3: Cross multiply
    70,237.60x = 105,209.20 × 32,829.60
  4. Step 4: Simplify right side
    70,237.60x = 3,453,975,952.32
  5. Step 5: Solve for x
    x = 3,453,975,952.32/70,237.60
  6. Step 6: Final answer
    x = 49,175.60

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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.