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Finding the Fourth Proportional to 70,306.65, 105,470.90 and 23,548.59

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Solution

The fourth proportional to 70,306.65, 105,470.90 and 23,548.59 is: 35,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,306.65 : 105,470.90 = 23,548.59 : x
  2. Step 2: Convert to fraction form
    70,306.65/105,470.90 = 23,548.59/x
  3. Step 3: Cross multiply
    70,306.65x = 105,470.90 × 23,548.59
  4. Step 4: Simplify right side
    70,306.65x = 2,483,690,981.03
  5. Step 5: Solve for x
    x = 2,483,690,981.03/70,306.65
  6. Step 6: Final answer
    x = 35,326.54

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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.