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Finding the Fourth Proportional to 27,762.64, 41,643.90 and 8,041.18

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Solution

The fourth proportional to 27,762.64, 41,643.90 and 8,041.18 is: 12,061.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.64 : 41,643.90 = 8,041.18 : x
  2. Step 2: Convert to fraction form
    27,762.64/41,643.90 = 8,041.18/x
  3. Step 3: Cross multiply
    27,762.64x = 41,643.90 × 8,041.18
  4. Step 4: Simplify right side
    27,762.64x = 334,866,095.80
  5. Step 5: Solve for x
    x = 334,866,095.80/27,762.64
  6. Step 6: Final answer
    x = 12,061.75

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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.