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Finding the Fourth Proportional to 37,484.01, 56,209.50 and 14,094

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Solution

The fourth proportional to 37,484.01, 56,209.50 and 14,094 is: 21,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,484.01 : 56,209.50 = 14,094 : x
  2. Step 2: Convert to fraction form
    37,484.01/56,209.50 = 14,094/x
  3. Step 3: Cross multiply
    37,484.01x = 56,209.50 × 14,094
  4. Step 4: Simplify right side
    37,484.01x = 792,216,693
  5. Step 5: Solve for x
    x = 792,216,693/37,484.01
  6. Step 6: Final answer
    x = 21,134.79

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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.