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Finding the Fourth Proportional to 56,589, 78,097.47 and 36,487.74

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Solution

The fourth proportional to 56,589, 78,097.47 and 36,487.74 is: 50,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,589 : 78,097.47 = 36,487.74 : x
  2. Step 2: Convert to fraction form
    56,589/78,097.47 = 36,487.74/x
  3. Step 3: Cross multiply
    56,589x = 78,097.47 × 36,487.74
  4. Step 4: Simplify right side
    56,589x = 2,849,600,180.02
  5. Step 5: Solve for x
    x = 2,849,600,180.02/56,589
  6. Step 6: Final answer
    x = 50,356.08

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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.