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Finding the Fourth Proportional to 46,894.68, 70,361.46 and 15,732.36

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Solution

The fourth proportional to 46,894.68, 70,361.46 and 15,732.36 is: 23,605.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,894.68 : 70,361.46 = 15,732.36 : x
  2. Step 2: Convert to fraction form
    46,894.68/70,361.46 = 15,732.36/x
  3. Step 3: Cross multiply
    46,894.68x = 70,361.46 × 15,732.36
  4. Step 4: Simplify right side
    46,894.68x = 1,106,951,818.85
  5. Step 5: Solve for x
    x = 1,106,951,818.85/46,894.68
  6. Step 6: Final answer
    x = 23,605.06

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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.