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Finding the Fourth Proportional to 70,124.76, 105,185.22 and 23,378.52

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Solution

The fourth proportional to 70,124.76, 105,185.22 and 23,378.52 is: 35,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,124.76 : 105,185.22 = 23,378.52 : x
  2. Step 2: Convert to fraction form
    70,124.76/105,185.22 = 23,378.52/x
  3. Step 3: Cross multiply
    70,124.76x = 105,185.22 × 23,378.52
  4. Step 4: Simplify right side
    70,124.76x = 2,459,074,769.47
  5. Step 5: Solve for x
    x = 2,459,074,769.47/70,124.76
  6. Step 6: Final answer
    x = 35,067.14

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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.