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Finding the Fourth Proportional to 35,716, 49,265.85 and 22,985.80

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Solution

The fourth proportional to 35,716, 49,265.85 and 22,985.80 is: 31,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,716 : 49,265.85 = 22,985.80 : x
  2. Step 2: Convert to fraction form
    35,716/49,265.85 = 22,985.80/x
  3. Step 3: Cross multiply
    35,716x = 49,265.85 × 22,985.80
  4. Step 4: Simplify right side
    35,716x = 1,132,414,974.93
  5. Step 5: Solve for x
    x = 1,132,414,974.93/35,716
  6. Step 6: Final answer
    x = 31,706.10

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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.