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Finding the Fourth Proportional to 35,894.92, 49,548.36 and 30,838.90

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Solution

The fourth proportional to 35,894.92, 49,548.36 and 30,838.90 is: 42,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.92 : 49,548.36 = 30,838.90 : x
  2. Step 2: Convert to fraction form
    35,894.92/49,548.36 = 30,838.90/x
  3. Step 3: Cross multiply
    35,894.92x = 49,548.36 × 30,838.90
  4. Step 4: Simplify right side
    35,894.92x = 1,528,016,919.20
  5. Step 5: Solve for x
    x = 1,528,016,919.20/35,894.92
  6. Step 6: Final answer
    x = 42,569.17

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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.