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Finding the Fourth Proportional to 48,926.70, 73,280.70 and 40,178.70

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Solution

The fourth proportional to 48,926.70, 73,280.70 and 40,178.70 is: 60,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,926.70 : 73,280.70 = 40,178.70 : x
  2. Step 2: Convert to fraction form
    48,926.70/73,280.70 = 40,178.70/x
  3. Step 3: Cross multiply
    48,926.70x = 73,280.70 × 40,178.70
  4. Step 4: Simplify right side
    48,926.70x = 2,944,323,261.09
  5. Step 5: Solve for x
    x = 2,944,323,261.09/48,926.70
  6. Step 6: Final answer
    x = 60,178.25

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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.