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Finding the Fourth Proportional to 35,516.48, 49,011.10 and 20,398.50

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Solution

The fourth proportional to 35,516.48, 49,011.10 and 20,398.50 is: 28,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,516.48 : 49,011.10 = 20,398.50 : x
  2. Step 2: Convert to fraction form
    35,516.48/49,011.10 = 20,398.50/x
  3. Step 3: Cross multiply
    35,516.48x = 49,011.10 × 20,398.50
  4. Step 4: Simplify right side
    35,516.48x = 999,752,923.35
  5. Step 5: Solve for x
    x = 999,752,923.35/35,516.48
  6. Step 6: Final answer
    x = 28,148.99

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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.