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Finding the Fourth Proportional to 123,827.34, 185,741.01 and 49,903.50

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Solution

The fourth proportional to 123,827.34, 185,741.01 and 49,903.50 is: 74,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,827.34 : 185,741.01 = 49,903.50 : x
  2. Step 2: Convert to fraction form
    123,827.34/185,741.01 = 49,903.50/x
  3. Step 3: Cross multiply
    123,827.34x = 185,741.01 × 49,903.50
  4. Step 4: Simplify right side
    123,827.34x = 9,269,126,492.54
  5. Step 5: Solve for x
    x = 9,269,126,492.54/123,827.34
  6. Step 6: Final answer
    x = 74,855.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.