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Finding the Fourth Proportional to 57,133.65, 85,719.57 and 27,547.99

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Solution

The fourth proportional to 57,133.65, 85,719.57 and 27,547.99 is: 41,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,133.65 : 85,719.57 = 27,547.99 : x
  2. Step 2: Convert to fraction form
    57,133.65/85,719.57 = 27,547.99/x
  3. Step 3: Cross multiply
    57,133.65x = 85,719.57 × 27,547.99
  4. Step 4: Simplify right side
    57,133.65x = 2,361,401,857.16
  5. Step 5: Solve for x
    x = 2,361,401,857.16/57,133.65
  6. Step 6: Final answer
    x = 41,331.19

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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.