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Finding the Fourth Proportional to 31,482.95, 47,224.37 and 21,592.24

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Solution

The fourth proportional to 31,482.95, 47,224.37 and 21,592.24 is: 32,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482.95 : 47,224.37 = 21,592.24 : x
  2. Step 2: Convert to fraction form
    31,482.95/47,224.37 = 21,592.24/x
  3. Step 3: Cross multiply
    31,482.95x = 47,224.37 × 21,592.24
  4. Step 4: Simplify right side
    31,482.95x = 1,019,680,132.45
  5. Step 5: Solve for x
    x = 1,019,680,132.45/31,482.95
  6. Step 6: Final answer
    x = 32,388.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.