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Finding the Fourth Proportional to 35,784.32, 49,428.84 and 27,234.50

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Solution

The fourth proportional to 35,784.32, 49,428.84 and 27,234.50 is: 37,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,784.32 : 49,428.84 = 27,234.50 : x
  2. Step 2: Convert to fraction form
    35,784.32/49,428.84 = 27,234.50/x
  3. Step 3: Cross multiply
    35,784.32x = 49,428.84 × 27,234.50
  4. Step 4: Simplify right side
    35,784.32x = 1,346,169,742.98
  5. Step 5: Solve for x
    x = 1,346,169,742.98/35,784.32
  6. Step 6: Final answer
    x = 37,618.98

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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.