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Finding the Fourth Proportional to 47,764.92, 65,898.54 and 32,835

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Solution

The fourth proportional to 47,764.92, 65,898.54 and 32,835 is: 45,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764.92 : 65,898.54 = 32,835 : x
  2. Step 2: Convert to fraction form
    47,764.92/65,898.54 = 32,835/x
  3. Step 3: Cross multiply
    47,764.92x = 65,898.54 × 32,835
  4. Step 4: Simplify right side
    47,764.92x = 2,163,778,560.90
  5. Step 5: Solve for x
    x = 2,163,778,560.90/47,764.92
  6. Step 6: Final answer
    x = 45,300.58

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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.