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Finding the Fourth Proportional to 123,326.47, 184,914.80 and 48,356.80

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Solution

The fourth proportional to 123,326.47, 184,914.80 and 48,356.80 is: 72,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,326.47 : 184,914.80 = 48,356.80 : x
  2. Step 2: Convert to fraction form
    123,326.47/184,914.80 = 48,356.80/x
  3. Step 3: Cross multiply
    123,326.47x = 184,914.80 × 48,356.80
  4. Step 4: Simplify right side
    123,326.47x = 8,941,886,834.28
  5. Step 5: Solve for x
    x = 8,941,886,834.28/123,326.47
  6. Step 6: Final answer
    x = 72,505.82

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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.