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Finding the Fourth Proportional to 70,507.13, 105,766.16 and 23,760

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Solution

The fourth proportional to 70,507.13, 105,766.16 and 23,760 is: 35,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,507.13 : 105,766.16 = 23,760 : x
  2. Step 2: Convert to fraction form
    70,507.13/105,766.16 = 23,760/x
  3. Step 3: Cross multiply
    70,507.13x = 105,766.16 × 23,760
  4. Step 4: Simplify right side
    70,507.13x = 2,513,003,842.80
  5. Step 5: Solve for x
    x = 2,513,003,842.80/70,507.13
  6. Step 6: Final answer
    x = 35,641.84

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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.