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Finding the Fourth Proportional to 116,745.96, 175,101.50 and 32,497.32

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Solution

The fourth proportional to 116,745.96, 175,101.50 and 32,497.32 is: 48,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,745.96 : 175,101.50 = 32,497.32 : x
  2. Step 2: Convert to fraction form
    116,745.96/175,101.50 = 32,497.32/x
  3. Step 3: Cross multiply
    116,745.96x = 175,101.50 × 32,497.32
  4. Step 4: Simplify right side
    116,745.96x = 5,690,329,477.98
  5. Step 5: Solve for x
    x = 5,690,329,477.98/116,745.96
  6. Step 6: Final answer
    x = 48,741.13

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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.