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Finding the Fourth Proportional to 70,515.36, 105,769.14 and 23,124.42

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Solution

The fourth proportional to 70,515.36, 105,769.14 and 23,124.42 is: 34,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,515.36 : 105,769.14 = 23,124.42 : x
  2. Step 2: Convert to fraction form
    70,515.36/105,769.14 = 23,124.42/x
  3. Step 3: Cross multiply
    70,515.36x = 105,769.14 × 23,124.42
  4. Step 4: Simplify right side
    70,515.36x = 2,445,850,016.40
  5. Step 5: Solve for x
    x = 2,445,850,016.40/70,515.36
  6. Step 6: Final answer
    x = 34,685.35

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1.5x scale

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.