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Finding the Fourth Proportional to 27,356.88, 37,816.24 and 24,402

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Solution

The fourth proportional to 27,356.88, 37,816.24 and 24,402 is: 33,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,356.88 : 37,816.24 = 24,402 : x
  2. Step 2: Convert to fraction form
    27,356.88/37,816.24 = 24,402/x
  3. Step 3: Cross multiply
    27,356.88x = 37,816.24 × 24,402
  4. Step 4: Simplify right side
    27,356.88x = 922,791,888.48
  5. Step 5: Solve for x
    x = 922,791,888.48/27,356.88
  6. Step 6: Final answer
    x = 33,731.62

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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.