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Finding the Fourth Proportional to 47,410.38, 65,416.14 and 28,285.02

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Solution

The fourth proportional to 47,410.38, 65,416.14 and 28,285.02 is: 39,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,410.38 : 65,416.14 = 28,285.02 : x
  2. Step 2: Convert to fraction form
    47,410.38/65,416.14 = 28,285.02/x
  3. Step 3: Cross multiply
    47,410.38x = 65,416.14 × 28,285.02
  4. Step 4: Simplify right side
    47,410.38x = 1,850,296,828.22
  5. Step 5: Solve for x
    x = 1,850,296,828.22/47,410.38
  6. Step 6: Final answer
    x = 39,027.25

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Why These Related Problems?

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