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Finding the Fourth Proportional to 39,752, 59,627.84 and 30,993.36

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Solution

The fourth proportional to 39,752, 59,627.84 and 30,993.36 is: 46,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,752 : 59,627.84 = 30,993.36 : x
  2. Step 2: Convert to fraction form
    39,752/59,627.84 = 30,993.36/x
  3. Step 3: Cross multiply
    39,752x = 59,627.84 × 30,993.36
  4. Step 4: Simplify right side
    39,752x = 1,848,067,111.14
  5. Step 5: Solve for x
    x = 1,848,067,111.14/39,752
  6. Step 6: Final answer
    x = 46,489.92

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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.