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Finding the Fourth Proportional to 37,378.96, 56,068.44 and 17,659.50

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Solution

The fourth proportional to 37,378.96, 56,068.44 and 17,659.50 is: 26,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,378.96 : 56,068.44 = 17,659.50 : x
  2. Step 2: Convert to fraction form
    37,378.96/56,068.44 = 17,659.50/x
  3. Step 3: Cross multiply
    37,378.96x = 56,068.44 × 17,659.50
  4. Step 4: Simplify right side
    37,378.96x = 990,140,616.18
  5. Step 5: Solve for x
    x = 990,140,616.18/37,378.96
  6. Step 6: Final answer
    x = 26,489.25

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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.