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Finding the Fourth Proportional to 51,975.72, 71,726.54 and 28,102.41

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Solution

The fourth proportional to 51,975.72, 71,726.54 and 28,102.41 is: 38,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,975.72 : 71,726.54 = 28,102.41 : x
  2. Step 2: Convert to fraction form
    51,975.72/71,726.54 = 28,102.41/x
  3. Step 3: Cross multiply
    51,975.72x = 71,726.54 × 28,102.41
  4. Step 4: Simplify right side
    51,975.72x = 2,015,688,494.45
  5. Step 5: Solve for x
    x = 2,015,688,494.45/51,975.72
  6. Step 6: Final answer
    x = 38,781.35

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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.