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Finding the Fourth Proportional to 115,257, 172,885.50 and 37,433

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Solution

The fourth proportional to 115,257, 172,885.50 and 37,433 is: 56,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,257 : 172,885.50 = 37,433 : x
  2. Step 2: Convert to fraction form
    115,257/172,885.50 = 37,433/x
  3. Step 3: Cross multiply
    115,257x = 172,885.50 × 37,433
  4. Step 4: Simplify right side
    115,257x = 6,471,622,921.50
  5. Step 5: Solve for x
    x = 6,471,622,921.50/115,257
  6. Step 6: Final answer
    x = 56,149.50

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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.