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Finding the Fourth Proportional to 42,544, 58,700.68 and 35,763.80

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Solution

The fourth proportional to 42,544, 58,700.68 and 35,763.80 is: 49,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,544 : 58,700.68 = 35,763.80 : x
  2. Step 2: Convert to fraction form
    42,544/58,700.68 = 35,763.80/x
  3. Step 3: Cross multiply
    42,544x = 58,700.68 × 35,763.80
  4. Step 4: Simplify right side
    42,544x = 2,099,359,379.38
  5. Step 5: Solve for x
    x = 2,099,359,379.38/42,544
  6. Step 6: Final answer
    x = 49,345.60

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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.