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Finding the Fourth Proportional to 35,814.69, 49,424.85 and 20,710.76

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Solution

The fourth proportional to 35,814.69, 49,424.85 and 20,710.76 is: 28,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,814.69 : 49,424.85 = 20,710.76 : x
  2. Step 2: Convert to fraction form
    35,814.69/49,424.85 = 20,710.76/x
  3. Step 3: Cross multiply
    35,814.69x = 49,424.85 × 20,710.76
  4. Step 4: Simplify right side
    35,814.69x = 1,023,625,959.26
  5. Step 5: Solve for x
    x = 1,023,625,959.26/35,814.69
  6. Step 6: Final answer
    x = 28,581.18

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