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Finding the Fourth Proportional to 39,057, 58,552.64 and 31,643.07

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Solution

The fourth proportional to 39,057, 58,552.64 and 31,643.07 is: 47,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,057 : 58,552.64 = 31,643.07 : x
  2. Step 2: Convert to fraction form
    39,057/58,552.64 = 31,643.07/x
  3. Step 3: Cross multiply
    39,057x = 58,552.64 × 31,643.07
  4. Step 4: Simplify right side
    39,057x = 1,852,785,286.20
  5. Step 5: Solve for x
    x = 1,852,785,286.20/39,057
  6. Step 6: Final answer
    x = 47,437.98

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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.