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Finding the Fourth Proportional to 49,638.02, 68,444.87 and 46,488.74

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Solution

The fourth proportional to 49,638.02, 68,444.87 and 46,488.74 is: 64,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,638.02 : 68,444.87 = 46,488.74 : x
  2. Step 2: Convert to fraction form
    49,638.02/68,444.87 = 46,488.74/x
  3. Step 3: Cross multiply
    49,638.02x = 68,444.87 × 46,488.74
  4. Step 4: Simplify right side
    49,638.02x = 3,181,915,765.76
  5. Step 5: Solve for x
    x = 3,181,915,765.76/49,638.02
  6. Step 6: Final answer
    x = 64,102.39

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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.