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Finding the Fourth Proportional to 46,473.53, 69,706.02 and 15,308.78

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Solution

The fourth proportional to 46,473.53, 69,706.02 and 15,308.78 is: 22,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,473.53 : 69,706.02 = 15,308.78 : x
  2. Step 2: Convert to fraction form
    46,473.53/69,706.02 = 15,308.78/x
  3. Step 3: Cross multiply
    46,473.53x = 69,706.02 × 15,308.78
  4. Step 4: Simplify right side
    46,473.53x = 1,067,114,124.86
  5. Step 5: Solve for x
    x = 1,067,114,124.86/46,473.53
  6. Step 6: Final answer
    x = 22,961.76

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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.