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Finding the Fourth Proportional to 35,712.66, 49,286.40 and 19,802.28

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Solution

The fourth proportional to 35,712.66, 49,286.40 and 19,802.28 is: 27,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712.66 : 49,286.40 = 19,802.28 : x
  2. Step 2: Convert to fraction form
    35,712.66/49,286.40 = 19,802.28/x
  3. Step 3: Cross multiply
    35,712.66x = 49,286.40 × 19,802.28
  4. Step 4: Simplify right side
    35,712.66x = 975,983,092.99
  5. Step 5: Solve for x
    x = 975,983,092.99/35,712.66
  6. Step 6: Final answer
    x = 27,328.77

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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.