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Finding the Fourth Proportional to 81,607.50, 122,412.06 and 29,019.06

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Solution

The fourth proportional to 81,607.50, 122,412.06 and 29,019.06 is: 43,528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,607.50 : 122,412.06 = 29,019.06 : x
  2. Step 2: Convert to fraction form
    81,607.50/122,412.06 = 29,019.06/x
  3. Step 3: Cross multiply
    81,607.50x = 122,412.06 × 29,019.06
  4. Step 4: Simplify right side
    81,607.50x = 3,552,282,913.86
  5. Step 5: Solve for x
    x = 3,552,282,913.86/81,607.50
  6. Step 6: Final answer
    x = 43,528.88

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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.