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Finding the Fourth Proportional to 35,812.91, 53,719.31 and 9,517.65

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Solution

The fourth proportional to 35,812.91, 53,719.31 and 9,517.65 is: 14,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.91 : 53,719.31 = 9,517.65 : x
  2. Step 2: Convert to fraction form
    35,812.91/53,719.31 = 9,517.65/x
  3. Step 3: Cross multiply
    35,812.91x = 53,719.31 × 9,517.65
  4. Step 4: Simplify right side
    35,812.91x = 511,281,661.80
  5. Step 5: Solve for x
    x = 511,281,661.80/35,812.91
  6. Step 6: Final answer
    x = 14,276.46

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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.