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Finding the Fourth Proportional to 38,058.81, 52,508.25 and 22,130.16

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Solution

The fourth proportional to 38,058.81, 52,508.25 and 22,130.16 is: 30,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,058.81 : 52,508.25 = 22,130.16 : x
  2. Step 2: Convert to fraction form
    38,058.81/52,508.25 = 22,130.16/x
  3. Step 3: Cross multiply
    38,058.81x = 52,508.25 × 22,130.16
  4. Step 4: Simplify right side
    38,058.81x = 1,162,015,973.82
  5. Step 5: Solve for x
    x = 1,162,015,973.82/38,058.81
  6. Step 6: Final answer
    x = 30,532.12

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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.