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Finding the Fourth Proportional to 46,730.46, 70,166.85 and 45,216

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Solution

The fourth proportional to 46,730.46, 70,166.85 and 45,216 is: 67,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,730.46 : 70,166.85 = 45,216 : x
  2. Step 2: Convert to fraction form
    46,730.46/70,166.85 = 45,216/x
  3. Step 3: Cross multiply
    46,730.46x = 70,166.85 × 45,216
  4. Step 4: Simplify right side
    46,730.46x = 3,172,664,289.60
  5. Step 5: Solve for x
    x = 3,172,664,289.60/46,730.46
  6. Step 6: Final answer
    x = 67,892.85

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