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Finding the Fourth Proportional to 27,643.56, 41,483.10 and 27,541.50

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Solution

The fourth proportional to 27,643.56, 41,483.10 and 27,541.50 is: 41,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643.56 : 41,483.10 = 27,541.50 : x
  2. Step 2: Convert to fraction form
    27,643.56/41,483.10 = 27,541.50/x
  3. Step 3: Cross multiply
    27,643.56x = 41,483.10 × 27,541.50
  4. Step 4: Simplify right side
    27,643.56x = 1,142,506,798.65
  5. Step 5: Solve for x
    x = 1,142,506,798.65/27,643.56
  6. Step 6: Final answer
    x = 41,329.94

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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.