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Finding the Fourth Proportional to 70,291.68, 105,450.48 and 23,578.08

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Solution

The fourth proportional to 70,291.68, 105,450.48 and 23,578.08 is: 35,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,291.68 : 105,450.48 = 23,578.08 : x
  2. Step 2: Convert to fraction form
    70,291.68/105,450.48 = 23,578.08/x
  3. Step 3: Cross multiply
    70,291.68x = 105,450.48 × 23,578.08
  4. Step 4: Simplify right side
    70,291.68x = 2,486,319,853.48
  5. Step 5: Solve for x
    x = 2,486,319,853.48/70,291.68
  6. Step 6: Final answer
    x = 35,371.47

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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.