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Finding the Fourth Proportional to 27,034.12, 40,549.13 and 7,312.16

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Solution

The fourth proportional to 27,034.12, 40,549.13 and 7,312.16 is: 10,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,034.12 : 40,549.13 = 7,312.16 : x
  2. Step 2: Convert to fraction form
    27,034.12/40,549.13 = 7,312.16/x
  3. Step 3: Cross multiply
    27,034.12x = 40,549.13 × 7,312.16
  4. Step 4: Simplify right side
    27,034.12x = 296,501,846.07
  5. Step 5: Solve for x
    x = 296,501,846.07/27,034.12
  6. Step 6: Final answer
    x = 10,967.69

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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.