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Finding the Fourth Proportional to 123,322.84, 184,912.47 and 48,355.11

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Solution

The fourth proportional to 123,322.84, 184,912.47 and 48,355.11 is: 72,504.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,322.84 : 184,912.47 = 48,355.11 : x
  2. Step 2: Convert to fraction form
    123,322.84/184,912.47 = 48,355.11/x
  3. Step 3: Cross multiply
    123,322.84x = 184,912.47 × 48,355.11
  4. Step 4: Simplify right side
    123,322.84x = 8,941,462,827.22
  5. Step 5: Solve for x
    x = 8,941,462,827.22/123,322.84
  6. Step 6: Final answer
    x = 72,504.52

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Why These Related Problems?

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