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Finding the Fourth Proportional to 52,058.16, 71,840.28 and 28,184.82

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Solution

The fourth proportional to 52,058.16, 71,840.28 and 28,184.82 is: 38,895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,058.16 : 71,840.28 = 28,184.82 : x
  2. Step 2: Convert to fraction form
    52,058.16/71,840.28 = 28,184.82/x
  3. Step 3: Cross multiply
    52,058.16x = 71,840.28 × 28,184.82
  4. Step 4: Simplify right side
    52,058.16x = 2,024,805,360.55
  5. Step 5: Solve for x
    x = 2,024,805,360.55/52,058.16
  6. Step 6: Final answer
    x = 38,895.06

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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.