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Finding the Fourth Proportional to 50,902.16, 70,243.64 and 27,931.92

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Solution

The fourth proportional to 50,902.16, 70,243.64 and 27,931.92 is: 38,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,902.16 : 70,243.64 = 27,931.92 : x
  2. Step 2: Convert to fraction form
    50,902.16/70,243.64 = 27,931.92/x
  3. Step 3: Cross multiply
    50,902.16x = 70,243.64 × 27,931.92
  4. Step 4: Simplify right side
    50,902.16x = 1,962,039,510.25
  5. Step 5: Solve for x
    x = 1,962,039,510.25/50,902.16
  6. Step 6: Final answer
    x = 38,545.31

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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.