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Finding the Fourth Proportional to 55,867.82, 83,801.51 and 22,587.48

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Solution

The fourth proportional to 55,867.82, 83,801.51 and 22,587.48 is: 33,881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,867.82 : 83,801.51 = 22,587.48 : x
  2. Step 2: Convert to fraction form
    55,867.82/83,801.51 = 22,587.48/x
  3. Step 3: Cross multiply
    55,867.82x = 83,801.51 × 22,587.48
  4. Step 4: Simplify right side
    55,867.82x = 1,892,864,818.16
  5. Step 5: Solve for x
    x = 1,892,864,818.16/55,867.82
  6. Step 6: Final answer
    x = 33,881.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.