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Finding the Fourth Proportional to 56,491.93, 77,965.78 and 32,618.55

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Solution

The fourth proportional to 56,491.93, 77,965.78 and 32,618.55 is: 45,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,491.93 : 77,965.78 = 32,618.55 : x
  2. Step 2: Convert to fraction form
    56,491.93/77,965.78 = 32,618.55/x
  3. Step 3: Cross multiply
    56,491.93x = 77,965.78 × 32,618.55
  4. Step 4: Simplify right side
    56,491.93x = 2,543,130,611.67
  5. Step 5: Solve for x
    x = 2,543,130,611.67/56,491.93
  6. Step 6: Final answer
    x = 45,017.59

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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.