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Finding the Fourth Proportional to 83,270.53, 114,903.66 and 49,280.50

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Solution

The fourth proportional to 83,270.53, 114,903.66 and 49,280.50 is: 68,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,270.53 : 114,903.66 = 49,280.50 : x
  2. Step 2: Convert to fraction form
    83,270.53/114,903.66 = 49,280.50/x
  3. Step 3: Cross multiply
    83,270.53x = 114,903.66 × 49,280.50
  4. Step 4: Simplify right side
    83,270.53x = 5,662,510,145.06
  5. Step 5: Solve for x
    x = 5,662,510,145.06/83,270.53
  6. Step 6: Final answer
    x = 68,001.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.