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Finding the Fourth Proportional to 69,076, 103,614 and 22,328.88

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Solution

The fourth proportional to 69,076, 103,614 and 22,328.88 is: 33,493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,076 : 103,614 = 22,328.88 : x
  2. Step 2: Convert to fraction form
    69,076/103,614 = 22,328.88/x
  3. Step 3: Cross multiply
    69,076x = 103,614 × 22,328.88
  4. Step 4: Simplify right side
    69,076x = 2,313,584,572.32
  5. Step 5: Solve for x
    x = 2,313,584,572.32/69,076
  6. Step 6: Final answer
    x = 33,493.32

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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.