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Finding the Fourth Proportional to 27,100.58, 40,641.75 and 9,085.16

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Solution

The fourth proportional to 27,100.58, 40,641.75 and 9,085.16 is: 13,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,100.58 : 40,641.75 = 9,085.16 : x
  2. Step 2: Convert to fraction form
    27,100.58/40,641.75 = 9,085.16/x
  3. Step 3: Cross multiply
    27,100.58x = 40,641.75 × 9,085.16
  4. Step 4: Simplify right side
    27,100.58x = 369,236,903.03
  5. Step 5: Solve for x
    x = 369,236,903.03/27,100.58
  6. Step 6: Final answer
    x = 13,624.69

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