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Finding the Fourth Proportional to 51,058.41, 70,459.97 and 28,702.41

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Solution

The fourth proportional to 51,058.41, 70,459.97 and 28,702.41 is: 39,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,058.41 : 70,459.97 = 28,702.41 : x
  2. Step 2: Convert to fraction form
    51,058.41/70,459.97 = 28,702.41/x
  3. Step 3: Cross multiply
    51,058.41x = 70,459.97 × 28,702.41
  4. Step 4: Simplify right side
    51,058.41x = 2,022,370,947.53
  5. Step 5: Solve for x
    x = 2,022,370,947.53/51,058.41
  6. Step 6: Final answer
    x = 39,608.97

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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.