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Finding the Fourth Proportional to 70,966.93, 106,456.55 and 26,000.50

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Solution

The fourth proportional to 70,966.93, 106,456.55 and 26,000.50 is: 39,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,966.93 : 106,456.55 = 26,000.50 : x
  2. Step 2: Convert to fraction form
    70,966.93/106,456.55 = 26,000.50/x
  3. Step 3: Cross multiply
    70,966.93x = 106,456.55 × 26,000.50
  4. Step 4: Simplify right side
    70,966.93x = 2,767,923,528.28
  5. Step 5: Solve for x
    x = 2,767,923,528.28/70,966.93
  6. Step 6: Final answer
    x = 39,003.01

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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.