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Finding the Fourth Proportional to 32,802.84, 49,205.02 and 11,744.32

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Solution

The fourth proportional to 32,802.84, 49,205.02 and 11,744.32 is: 17,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,802.84 : 49,205.02 = 11,744.32 : x
  2. Step 2: Convert to fraction form
    32,802.84/49,205.02 = 11,744.32/x
  3. Step 3: Cross multiply
    32,802.84x = 49,205.02 × 11,744.32
  4. Step 4: Simplify right side
    32,802.84x = 577,879,500.49
  5. Step 5: Solve for x
    x = 577,879,500.49/32,802.84
  6. Step 6: Final answer
    x = 17,616.75

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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.