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Finding the Fourth Proportional to 46,814.46, 70,228.64 and 17,230.15

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Solution

The fourth proportional to 46,814.46, 70,228.64 and 17,230.15 is: 25,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,814.46 : 70,228.64 = 17,230.15 : x
  2. Step 2: Convert to fraction form
    46,814.46/70,228.64 = 17,230.15/x
  3. Step 3: Cross multiply
    46,814.46x = 70,228.64 × 17,230.15
  4. Step 4: Simplify right side
    46,814.46x = 1,210,050,001.50
  5. Step 5: Solve for x
    x = 1,210,050,001.50/46,814.46
  6. Step 6: Final answer
    x = 25,847.78

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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.