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Finding the Fourth Proportional to 123,412.70, 184,994.41 and 48,585.35

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Solution

The fourth proportional to 123,412.70, 184,994.41 and 48,585.35 is: 72,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,412.70 : 184,994.41 = 48,585.35 : x
  2. Step 2: Convert to fraction form
    123,412.70/184,994.41 = 48,585.35/x
  3. Step 3: Cross multiply
    123,412.70x = 184,994.41 × 48,585.35
  4. Step 4: Simplify right side
    123,412.70x = 8,988,018,498.92
  5. Step 5: Solve for x
    x = 8,988,018,498.92/123,412.70
  6. Step 6: Final answer
    x = 72,828.96

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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.