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Finding the Fourth Proportional to 47,563.52, 65,638.14 and 28,697

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Solution

The fourth proportional to 47,563.52, 65,638.14 and 28,697 is: 39,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,563.52 : 65,638.14 = 28,697 : x
  2. Step 2: Convert to fraction form
    47,563.52/65,638.14 = 28,697/x
  3. Step 3: Cross multiply
    47,563.52x = 65,638.14 × 28,697
  4. Step 4: Simplify right side
    47,563.52x = 1,883,617,703.58
  5. Step 5: Solve for x
    x = 1,883,617,703.58/47,563.52
  6. Step 6: Final answer
    x = 39,602.15

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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.