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Finding the Fourth Proportional to 27,833.72, 41,502.32 and 24,742.76

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Solution

The fourth proportional to 27,833.72, 41,502.32 and 24,742.76 is: 36,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.72 : 41,502.32 = 24,742.76 : x
  2. Step 2: Convert to fraction form
    27,833.72/41,502.32 = 24,742.76/x
  3. Step 3: Cross multiply
    27,833.72x = 41,502.32 × 24,742.76
  4. Step 4: Simplify right side
    27,833.72x = 1,026,881,943.20
  5. Step 5: Solve for x
    x = 1,026,881,943.20/27,833.72
  6. Step 6: Final answer
    x = 36,893.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.