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Finding the Fourth Proportional to 107,804.72, 161,724.36 and 45,484.40

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Solution

The fourth proportional to 107,804.72, 161,724.36 and 45,484.40 is: 68,233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,804.72 : 161,724.36 = 45,484.40 : x
  2. Step 2: Convert to fraction form
    107,804.72/161,724.36 = 45,484.40/x
  3. Step 3: Cross multiply
    107,804.72x = 161,724.36 × 45,484.40
  4. Step 4: Simplify right side
    107,804.72x = 7,355,935,479.98
  5. Step 5: Solve for x
    x = 7,355,935,479.98/107,804.72
  6. Step 6: Final answer
    x = 68,233.89

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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.