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Finding the Fourth Proportional to 68,076, 102,113.28 and 26,552.16

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Solution

The fourth proportional to 68,076, 102,113.28 and 26,552.16 is: 39,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,076 : 102,113.28 = 26,552.16 : x
  2. Step 2: Convert to fraction form
    68,076/102,113.28 = 26,552.16/x
  3. Step 3: Cross multiply
    68,076x = 102,113.28 × 26,552.16
  4. Step 4: Simplify right side
    68,076x = 2,711,328,148.68
  5. Step 5: Solve for x
    x = 2,711,328,148.68/68,076
  6. Step 6: Final answer
    x = 39,827.96

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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.