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Finding the Fourth Proportional to 32,797.84, 45,261.20 and 17,894.16

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Solution

The fourth proportional to 32,797.84, 45,261.20 and 17,894.16 is: 24,694.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,797.84 : 45,261.20 = 17,894.16 : x
  2. Step 2: Convert to fraction form
    32,797.84/45,261.20 = 17,894.16/x
  3. Step 3: Cross multiply
    32,797.84x = 45,261.20 × 17,894.16
  4. Step 4: Simplify right side
    32,797.84x = 809,911,154.59
  5. Step 5: Solve for x
    x = 809,911,154.59/32,797.84
  6. Step 6: Final answer
    x = 24,694.04

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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.