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Finding the Fourth Proportional to 70,328.52, 105,496.19 and 22,943.52

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Solution

The fourth proportional to 70,328.52, 105,496.19 and 22,943.52 is: 34,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,328.52 : 105,496.19 = 22,943.52 : x
  2. Step 2: Convert to fraction form
    70,328.52/105,496.19 = 22,943.52/x
  3. Step 3: Cross multiply
    70,328.52x = 105,496.19 × 22,943.52
  4. Step 4: Simplify right side
    70,328.52x = 2,420,453,830.47
  5. Step 5: Solve for x
    x = 2,420,453,830.47/70,328.52
  6. Step 6: Final answer
    x = 34,416.39

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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.