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Finding the Fourth Proportional to 35,677.64, 49,187.18 and 30,620

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Solution

The fourth proportional to 35,677.64, 49,187.18 and 30,620 is: 42,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,677.64 : 49,187.18 = 30,620 : x
  2. Step 2: Convert to fraction form
    35,677.64/49,187.18 = 30,620/x
  3. Step 3: Cross multiply
    35,677.64x = 49,187.18 × 30,620
  4. Step 4: Simplify right side
    35,677.64x = 1,506,111,451.60
  5. Step 5: Solve for x
    x = 1,506,111,451.60/35,677.64
  6. Step 6: Final answer
    x = 42,214.44

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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.