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Finding the Fourth Proportional to 49,897.76, 74,806.88 and 28,813.86

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Solution

The fourth proportional to 49,897.76, 74,806.88 and 28,813.86 is: 43,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,897.76 : 74,806.88 = 28,813.86 : x
  2. Step 2: Convert to fraction form
    49,897.76/74,806.88 = 28,813.86/x
  3. Step 3: Cross multiply
    49,897.76x = 74,806.88 × 28,813.86
  4. Step 4: Simplify right side
    49,897.76x = 2,155,474,823.29
  5. Step 5: Solve for x
    x = 2,155,474,823.29/49,897.76
  6. Step 6: Final answer
    x = 43,197.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.