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Finding the Fourth Proportional to 39,095.50, 58,643.24 and 15,716.46

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Solution

The fourth proportional to 39,095.50, 58,643.24 and 15,716.46 is: 23,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,095.50 : 58,643.24 = 15,716.46 : x
  2. Step 2: Convert to fraction form
    39,095.50/58,643.24 = 15,716.46/x
  3. Step 3: Cross multiply
    39,095.50x = 58,643.24 × 15,716.46
  4. Step 4: Simplify right side
    39,095.50x = 921,664,135.73
  5. Step 5: Solve for x
    x = 921,664,135.73/39,095.50
  6. Step 6: Final answer
    x = 23,574.69

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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.