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Finding the Fourth Proportional to 51,223.14, 70,686.19 and 28,253.87

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Solution

The fourth proportional to 51,223.14, 70,686.19 and 28,253.87 is: 38,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,223.14 : 70,686.19 = 28,253.87 : x
  2. Step 2: Convert to fraction form
    51,223.14/70,686.19 = 28,253.87/x
  3. Step 3: Cross multiply
    51,223.14x = 70,686.19 × 28,253.87
  4. Step 4: Simplify right side
    51,223.14x = 1,997,158,529.14
  5. Step 5: Solve for x
    x = 1,997,158,529.14/51,223.14
  6. Step 6: Final answer
    x = 38,989.38

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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.