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Finding the Fourth Proportional to 62,384.08, 93,590.16 and 20,830

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Solution

The fourth proportional to 62,384.08, 93,590.16 and 20,830 is: 31,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,384.08 : 93,590.16 = 20,830 : x
  2. Step 2: Convert to fraction form
    62,384.08/93,590.16 = 20,830/x
  3. Step 3: Cross multiply
    62,384.08x = 93,590.16 × 20,830
  4. Step 4: Simplify right side
    62,384.08x = 1,949,483,032.80
  5. Step 5: Solve for x
    x = 1,949,483,032.80/62,384.08
  6. Step 6: Final answer
    x = 31,249.69

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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.