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Finding the Fourth Proportional to 32,964.65, 45,491.43 and 17,857.31

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Solution

The fourth proportional to 32,964.65, 45,491.43 and 17,857.31 is: 24,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.65 : 45,491.43 = 17,857.31 : x
  2. Step 2: Convert to fraction form
    32,964.65/45,491.43 = 17,857.31/x
  3. Step 3: Cross multiply
    32,964.65x = 45,491.43 × 17,857.31
  4. Step 4: Simplify right side
    32,964.65x = 812,354,340.40
  5. Step 5: Solve for x
    x = 812,354,340.40/32,964.65
  6. Step 6: Final answer
    x = 24,643.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.