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Finding the Fourth Proportional to 35,952, 49,612.56 and 20,036.16

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Solution

The fourth proportional to 35,952, 49,612.56 and 20,036.16 is: 27,649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,952 : 49,612.56 = 20,036.16 : x
  2. Step 2: Convert to fraction form
    35,952/49,612.56 = 20,036.16/x
  3. Step 3: Cross multiply
    35,952x = 49,612.56 × 20,036.16
  4. Step 4: Simplify right side
    35,952x = 994,045,190.17
  5. Step 5: Solve for x
    x = 994,045,190.17/35,952
  6. Step 6: Final answer
    x = 27,649.23

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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.