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Finding the Fourth Proportional to 25,493.88, 38,069.08 and 20,823.16

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Solution

The fourth proportional to 25,493.88, 38,069.08 and 20,823.16 is: 31,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493.88 : 38,069.08 = 20,823.16 : x
  2. Step 2: Convert to fraction form
    25,493.88/38,069.08 = 20,823.16/x
  3. Step 3: Cross multiply
    25,493.88x = 38,069.08 × 20,823.16
  4. Step 4: Simplify right side
    25,493.88x = 792,718,543.89
  5. Step 5: Solve for x
    x = 792,718,543.89/25,493.88
  6. Step 6: Final answer
    x = 31,094.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.