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Finding the Fourth Proportional to 27,303.31, 40,954.07 and 8,582.93

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Solution

The fourth proportional to 27,303.31, 40,954.07 and 8,582.93 is: 12,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,303.31 : 40,954.07 = 8,582.93 : x
  2. Step 2: Convert to fraction form
    27,303.31/40,954.07 = 8,582.93/x
  3. Step 3: Cross multiply
    27,303.31x = 40,954.07 × 8,582.93
  4. Step 4: Simplify right side
    27,303.31x = 351,505,886.29
  5. Step 5: Solve for x
    x = 351,505,886.29/27,303.31
  6. Step 6: Final answer
    x = 12,874.11

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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.