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Finding the Fourth Proportional to 122,797.50, 184,226.49 and 39,691.50

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Solution

The fourth proportional to 122,797.50, 184,226.49 and 39,691.50 is: 59,547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,797.50 : 184,226.49 = 39,691.50 : x
  2. Step 2: Convert to fraction form
    122,797.50/184,226.49 = 39,691.50/x
  3. Step 3: Cross multiply
    122,797.50x = 184,226.49 × 39,691.50
  4. Step 4: Simplify right side
    122,797.50x = 7,312,225,727.84
  5. Step 5: Solve for x
    x = 7,312,225,727.84/122,797.50
  6. Step 6: Final answer
    x = 59,547.02

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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.