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Finding the Fourth Proportional to 70,133.75, 105,200.62 and 32,720.03

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Solution

The fourth proportional to 70,133.75, 105,200.62 and 32,720.03 is: 49,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,133.75 : 105,200.62 = 32,720.03 : x
  2. Step 2: Convert to fraction form
    70,133.75/105,200.62 = 32,720.03/x
  3. Step 3: Cross multiply
    70,133.75x = 105,200.62 × 32,720.03
  4. Step 4: Simplify right side
    70,133.75x = 3,442,167,117.29
  5. Step 5: Solve for x
    x = 3,442,167,117.29/70,133.75
  6. Step 6: Final answer
    x = 49,080.04

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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.