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Finding the Fourth Proportional to 70,689.84, 106,049.34 and 23,941.50

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Solution

The fourth proportional to 70,689.84, 106,049.34 and 23,941.50 is: 35,917.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,689.84 : 106,049.34 = 23,941.50 : x
  2. Step 2: Convert to fraction form
    70,689.84/106,049.34 = 23,941.50/x
  3. Step 3: Cross multiply
    70,689.84x = 106,049.34 × 23,941.50
  4. Step 4: Simplify right side
    70,689.84x = 2,538,980,273.61
  5. Step 5: Solve for x
    x = 2,538,980,273.61/70,689.84
  6. Step 6: Final answer
    x = 35,917.19

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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.