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Finding the Fourth Proportional to 47,817.63, 65,949.05 and 42,444

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Solution

The fourth proportional to 47,817.63, 65,949.05 and 42,444 is: 58,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,817.63 : 65,949.05 = 42,444 : x
  2. Step 2: Convert to fraction form
    47,817.63/65,949.05 = 42,444/x
  3. Step 3: Cross multiply
    47,817.63x = 65,949.05 × 42,444
  4. Step 4: Simplify right side
    47,817.63x = 2,799,141,265.98
  5. Step 5: Solve for x
    x = 2,799,141,265.98/47,817.63
  6. Step 6: Final answer
    x = 58,537.85

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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.