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Finding the Fourth Proportional to 83,001.40, 124,631.70 and 48,009.40

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Solution

The fourth proportional to 83,001.40, 124,631.70 and 48,009.40 is: 72,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,001.40 : 124,631.70 = 48,009.40 : x
  2. Step 2: Convert to fraction form
    83,001.40/124,631.70 = 48,009.40/x
  3. Step 3: Cross multiply
    83,001.40x = 124,631.70 × 48,009.40
  4. Step 4: Simplify right side
    83,001.40x = 5,983,493,137.98
  5. Step 5: Solve for x
    x = 5,983,493,137.98/83,001.40
  6. Step 6: Final answer
    x = 72,089.06

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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.