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Finding the Fourth Proportional to 70,509.77, 105,771.95 and 23,766.29

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Solution

The fourth proportional to 70,509.77, 105,771.95 and 23,766.29 is: 35,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,509.77 : 105,771.95 = 23,766.29 : x
  2. Step 2: Convert to fraction form
    70,509.77/105,771.95 = 23,766.29/x
  3. Step 3: Cross multiply
    70,509.77x = 105,771.95 × 23,766.29
  4. Step 4: Simplify right side
    70,509.77x = 2,513,806,837.57
  5. Step 5: Solve for x
    x = 2,513,806,837.57/70,509.77
  6. Step 6: Final answer
    x = 35,651.89

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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.