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Finding the Fourth Proportional to 115,257.50, 172,886.25 and 37,433.50

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Solution

The fourth proportional to 115,257.50, 172,886.25 and 37,433.50 is: 56,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,257.50 : 172,886.25 = 37,433.50 : x
  2. Step 2: Convert to fraction form
    115,257.50/172,886.25 = 37,433.50/x
  3. Step 3: Cross multiply
    115,257.50x = 172,886.25 × 37,433.50
  4. Step 4: Simplify right side
    115,257.50x = 6,471,737,439.38
  5. Step 5: Solve for x
    x = 6,471,737,439.38/115,257.50
  6. Step 6: Final answer
    x = 56,150.25

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1.5x scale

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.