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Finding the Fourth Proportional to 48,494.81, 72,675.86 and 36,638.84

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Solution

The fourth proportional to 48,494.81, 72,675.86 and 36,638.84 is: 54,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,494.81 : 72,675.86 = 36,638.84 : x
  2. Step 2: Convert to fraction form
    48,494.81/72,675.86 = 36,638.84/x
  3. Step 3: Cross multiply
    48,494.81x = 72,675.86 × 36,638.84
  4. Step 4: Simplify right side
    48,494.81x = 2,662,759,206.40
  5. Step 5: Solve for x
    x = 2,662,759,206.40/48,494.81
  6. Step 6: Final answer
    x = 54,908.13

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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.