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Finding the Fourth Proportional to 35,698.38, 49,265.94 and 20,590.76

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Solution

The fourth proportional to 35,698.38, 49,265.94 and 20,590.76 is: 28,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,698.38 : 49,265.94 = 20,590.76 : x
  2. Step 2: Convert to fraction form
    35,698.38/49,265.94 = 20,590.76/x
  3. Step 3: Cross multiply
    35,698.38x = 49,265.94 × 20,590.76
  4. Step 4: Simplify right side
    35,698.38x = 1,014,423,146.71
  5. Step 5: Solve for x
    x = 1,014,423,146.71/35,698.38
  6. Step 6: Final answer
    x = 28,416.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.