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Finding the Fourth Proportional to 32,892.84, 45,392.12 and 17,785.50

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Solution

The fourth proportional to 32,892.84, 45,392.12 and 17,785.50 is: 24,543.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,892.84 : 45,392.12 = 17,785.50 : x
  2. Step 2: Convert to fraction form
    32,892.84/45,392.12 = 17,785.50/x
  3. Step 3: Cross multiply
    32,892.84x = 45,392.12 × 17,785.50
  4. Step 4: Simplify right side
    32,892.84x = 807,321,550.26
  5. Step 5: Solve for x
    x = 807,321,550.26/32,892.84
  6. Step 6: Final answer
    x = 24,543.99

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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.