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Finding the Fourth Proportional to 47,482.20, 65,551.68 and 31,590

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Solution

The fourth proportional to 47,482.20, 65,551.68 and 31,590 is: 43,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,482.20 : 65,551.68 = 31,590 : x
  2. Step 2: Convert to fraction form
    47,482.20/65,551.68 = 31,590/x
  3. Step 3: Cross multiply
    47,482.20x = 65,551.68 × 31,590
  4. Step 4: Simplify right side
    47,482.20x = 2,070,777,571.20
  5. Step 5: Solve for x
    x = 2,070,777,571.20/47,482.20
  6. Step 6: Final answer
    x = 43,611.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.