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Finding the Fourth Proportional to 83,165.70, 124,768.80 and 24,000.06

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Solution

The fourth proportional to 83,165.70, 124,768.80 and 24,000.06 is: 36,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,165.70 : 124,768.80 = 24,000.06 : x
  2. Step 2: Convert to fraction form
    83,165.70/124,768.80 = 24,000.06/x
  3. Step 3: Cross multiply
    83,165.70x = 124,768.80 × 24,000.06
  4. Step 4: Simplify right side
    83,165.70x = 2,994,458,686.13
  5. Step 5: Solve for x
    x = 2,994,458,686.13/83,165.70
  6. Step 6: Final answer
    x = 36,005.93

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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.