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Finding the Fourth Proportional to 56,709.75, 78,259.50 and 32,837.70

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Solution

The fourth proportional to 56,709.75, 78,259.50 and 32,837.70 is: 45,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,709.75 : 78,259.50 = 32,837.70 : x
  2. Step 2: Convert to fraction form
    56,709.75/78,259.50 = 32,837.70/x
  3. Step 3: Cross multiply
    56,709.75x = 78,259.50 × 32,837.70
  4. Step 4: Simplify right side
    56,709.75x = 2,569,861,983.15
  5. Step 5: Solve for x
    x = 2,569,861,983.15/56,709.75
  6. Step 6: Final answer
    x = 45,316.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.