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Finding the Fourth Proportional to 32,881.86, 45,376.88 and 17,774.46

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Solution

The fourth proportional to 32,881.86, 45,376.88 and 17,774.46 is: 24,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,881.86 : 45,376.88 = 17,774.46 : x
  2. Step 2: Convert to fraction form
    32,881.86/45,376.88 = 17,774.46/x
  3. Step 3: Cross multiply
    32,881.86x = 45,376.88 × 17,774.46
  4. Step 4: Simplify right side
    32,881.86x = 806,549,449.61
  5. Step 5: Solve for x
    x = 806,549,449.61/32,881.86
  6. Step 6: Final answer
    x = 24,528.71

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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.