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Finding the Fourth Proportional to 46,222.92, 63,823.14 and 38,310.84

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Solution

The fourth proportional to 46,222.92, 63,823.14 and 38,310.84 is: 52,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,222.92 : 63,823.14 = 38,310.84 : x
  2. Step 2: Convert to fraction form
    46,222.92/63,823.14 = 38,310.84/x
  3. Step 3: Cross multiply
    46,222.92x = 63,823.14 × 38,310.84
  4. Step 4: Simplify right side
    46,222.92x = 2,445,118,104.84
  5. Step 5: Solve for x
    x = 2,445,118,104.84/46,222.92
  6. Step 6: Final answer
    x = 52,898.39

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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.