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Finding the Fourth Proportional to 46,978.62, 64,830.70 and 28,115.76

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Solution

The fourth proportional to 46,978.62, 64,830.70 and 28,115.76 is: 38,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.62 : 64,830.70 = 28,115.76 : x
  2. Step 2: Convert to fraction form
    46,978.62/64,830.70 = 28,115.76/x
  3. Step 3: Cross multiply
    46,978.62x = 64,830.70 × 28,115.76
  4. Step 4: Simplify right side
    46,978.62x = 1,822,764,401.83
  5. Step 5: Solve for x
    x = 1,822,764,401.83/46,978.62
  6. Step 6: Final answer
    x = 38,799.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.