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Finding the Fourth Proportional to 35,862.12, 49,490.88 and 19,946.16

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Solution

The fourth proportional to 35,862.12, 49,490.88 and 19,946.16 is: 27,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,862.12 : 49,490.88 = 19,946.16 : x
  2. Step 2: Convert to fraction form
    35,862.12/49,490.88 = 19,946.16/x
  3. Step 3: Cross multiply
    35,862.12x = 49,490.88 × 19,946.16
  4. Step 4: Simplify right side
    35,862.12x = 987,153,011.02
  5. Step 5: Solve for x
    x = 987,153,011.02/35,862.12
  6. Step 6: Final answer
    x = 27,526.34

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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.