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Finding the Fourth Proportional to 35,653.98, 49,208.22 and 27,142.50

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Solution

The fourth proportional to 35,653.98, 49,208.22 and 27,142.50 is: 37,461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,653.98 : 49,208.22 = 27,142.50 : x
  2. Step 2: Convert to fraction form
    35,653.98/49,208.22 = 27,142.50/x
  3. Step 3: Cross multiply
    35,653.98x = 49,208.22 × 27,142.50
  4. Step 4: Simplify right side
    35,653.98x = 1,335,634,111.35
  5. Step 5: Solve for x
    x = 1,335,634,111.35/35,653.98
  6. Step 6: Final answer
    x = 37,461.01

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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.