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Finding the Fourth Proportional to 47,735.52, 65,923.95 and 35,779.92

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Solution

The fourth proportional to 47,735.52, 65,923.95 and 35,779.92 is: 49,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,735.52 : 65,923.95 = 35,779.92 : x
  2. Step 2: Convert to fraction form
    47,735.52/65,923.95 = 35,779.92/x
  3. Step 3: Cross multiply
    47,735.52x = 65,923.95 × 35,779.92
  4. Step 4: Simplify right side
    47,735.52x = 2,358,753,657.08
  5. Step 5: Solve for x
    x = 2,358,753,657.08/47,735.52
  6. Step 6: Final answer
    x = 49,412.97

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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.