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Finding the Fourth Proportional to 38,587.84, 53,234.32 and 22,665.11

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Solution

The fourth proportional to 38,587.84, 53,234.32 and 22,665.11 is: 31,267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,587.84 : 53,234.32 = 22,665.11 : x
  2. Step 2: Convert to fraction form
    38,587.84/53,234.32 = 22,665.11/x
  3. Step 3: Cross multiply
    38,587.84x = 53,234.32 × 22,665.11
  4. Step 4: Simplify right side
    38,587.84x = 1,206,561,718.58
  5. Step 5: Solve for x
    x = 1,206,561,718.58/38,587.84
  6. Step 6: Final answer
    x = 31,267.93

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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.