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Finding the Fourth Proportional to 32,802.91, 49,205.12 and 11,744.40

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Solution

The fourth proportional to 32,802.91, 49,205.12 and 11,744.40 is: 17,616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,802.91 : 49,205.12 = 11,744.40 : x
  2. Step 2: Convert to fraction form
    32,802.91/49,205.12 = 11,744.40/x
  3. Step 3: Cross multiply
    32,802.91x = 49,205.12 × 11,744.40
  4. Step 4: Simplify right side
    32,802.91x = 577,884,365.30
  5. Step 5: Solve for x
    x = 577,884,365.30/32,802.91
  6. Step 6: Final answer
    x = 17,616.86

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1.5x scale

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.