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Finding the Fourth Proportional to 49,894.90, 74,798.32 and 20,337.46

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Solution

The fourth proportional to 49,894.90, 74,798.32 and 20,337.46 is: 30,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,894.90 : 74,798.32 = 20,337.46 : x
  2. Step 2: Convert to fraction form
    49,894.90/74,798.32 = 20,337.46/x
  3. Step 3: Cross multiply
    49,894.90x = 74,798.32 × 20,337.46
  4. Step 4: Simplify right side
    49,894.90x = 1,521,207,841.07
  5. Step 5: Solve for x
    x = 1,521,207,841.07/49,894.90
  6. Step 6: Final answer
    x = 30,488.24

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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.