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Finding the Fourth Proportional to 27,830.01, 38,383.02 and 24,465.63

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Solution

The fourth proportional to 27,830.01, 38,383.02 and 24,465.63 is: 33,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.01 : 38,383.02 = 24,465.63 : x
  2. Step 2: Convert to fraction form
    27,830.01/38,383.02 = 24,465.63/x
  3. Step 3: Cross multiply
    27,830.01x = 38,383.02 × 24,465.63
  4. Step 4: Simplify right side
    27,830.01x = 939,064,765.60
  5. Step 5: Solve for x
    x = 939,064,765.60/27,830.01
  6. Step 6: Final answer
    x = 33,742.88

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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.