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Finding the Fourth Proportional to 30,005.58, 44,993.28 and 10,008

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Solution

The fourth proportional to 30,005.58, 44,993.28 and 10,008 is: 15,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.58 : 44,993.28 = 10,008 : x
  2. Step 2: Convert to fraction form
    30,005.58/44,993.28 = 10,008/x
  3. Step 3: Cross multiply
    30,005.58x = 44,993.28 × 10,008
  4. Step 4: Simplify right side
    30,005.58x = 450,292,746.24
  5. Step 5: Solve for x
    x = 450,292,746.24/30,005.58
  6. Step 6: Final answer
    x = 15,006.97

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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.