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Finding the Fourth Proportional to 47,752.42, 65,946.11 and 39,337.94

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Solution

The fourth proportional to 47,752.42, 65,946.11 and 39,337.94 is: 54,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,752.42 : 65,946.11 = 39,337.94 : x
  2. Step 2: Convert to fraction form
    47,752.42/65,946.11 = 39,337.94/x
  3. Step 3: Cross multiply
    47,752.42x = 65,946.11 × 39,337.94
  4. Step 4: Simplify right side
    47,752.42x = 2,594,184,118.41
  5. Step 5: Solve for x
    x = 2,594,184,118.41/47,752.42
  6. Step 6: Final answer
    x = 54,325.71

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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.