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Finding the Fourth Proportional to 52,124.32, 71,931.54 and 28,251

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Solution

The fourth proportional to 52,124.32, 71,931.54 and 28,251 is: 38,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,124.32 : 71,931.54 = 28,251 : x
  2. Step 2: Convert to fraction form
    52,124.32/71,931.54 = 28,251/x
  3. Step 3: Cross multiply
    52,124.32x = 71,931.54 × 28,251
  4. Step 4: Simplify right side
    52,124.32x = 2,032,137,936.54
  5. Step 5: Solve for x
    x = 2,032,137,936.54/52,124.32
  6. Step 6: Final answer
    x = 38,986.37

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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.