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Finding the Fourth Proportional to 37,156.78, 55,737 and 14,967.16

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Solution

The fourth proportional to 37,156.78, 55,737 and 14,967.16 is: 22,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,156.78 : 55,737 = 14,967.16 : x
  2. Step 2: Convert to fraction form
    37,156.78/55,737 = 14,967.16/x
  3. Step 3: Cross multiply
    37,156.78x = 55,737 × 14,967.16
  4. Step 4: Simplify right side
    37,156.78x = 834,224,596.92
  5. Step 5: Solve for x
    x = 834,224,596.92/37,156.78
  6. Step 6: Final answer
    x = 22,451.48

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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.