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Finding the Fourth Proportional to 73,235.52, 109,850.76 and 31,088.52

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Solution

The fourth proportional to 73,235.52, 109,850.76 and 31,088.52 is: 46,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,235.52 : 109,850.76 = 31,088.52 : x
  2. Step 2: Convert to fraction form
    73,235.52/109,850.76 = 31,088.52/x
  3. Step 3: Cross multiply
    73,235.52x = 109,850.76 × 31,088.52
  4. Step 4: Simplify right side
    73,235.52x = 3,415,097,549.28
  5. Step 5: Solve for x
    x = 3,415,097,549.28/73,235.52
  6. Step 6: Final answer
    x = 46,631.71

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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.