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Finding the Fourth Proportional to 30,590.08, 45,866.89 and 10,593

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Solution

The fourth proportional to 30,590.08, 45,866.89 and 10,593 is: 15,883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.08 : 45,866.89 = 10,593 : x
  2. Step 2: Convert to fraction form
    30,590.08/45,866.89 = 10,593/x
  3. Step 3: Cross multiply
    30,590.08x = 45,866.89 × 10,593
  4. Step 4: Simplify right side
    30,590.08x = 485,867,979.01
  5. Step 5: Solve for x
    x = 485,867,979.01/30,590.08
  6. Step 6: Final answer
    x = 15,883.19

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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.