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Finding the Fourth Proportional to 31,578.84, 43,578.95 and 17,432.19

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Solution

The fourth proportional to 31,578.84, 43,578.95 and 17,432.19 is: 24,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.84 : 43,578.95 = 17,432.19 : x
  2. Step 2: Convert to fraction form
    31,578.84/43,578.95 = 17,432.19/x
  3. Step 3: Cross multiply
    31,578.84x = 43,578.95 × 17,432.19
  4. Step 4: Simplify right side
    31,578.84x = 759,676,449.24
  5. Step 5: Solve for x
    x = 759,676,449.24/31,578.84
  6. Step 6: Final answer
    x = 24,056.50

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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.