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Finding the Fourth Proportional to 56,597.22, 78,113.84 and 32,738.40

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Solution

The fourth proportional to 56,597.22, 78,113.84 and 32,738.40 is: 45,184.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,597.22 : 78,113.84 = 32,738.40 : x
  2. Step 2: Convert to fraction form
    56,597.22/78,113.84 = 32,738.40/x
  3. Step 3: Cross multiply
    56,597.22x = 78,113.84 × 32,738.40
  4. Step 4: Simplify right side
    56,597.22x = 2,557,321,975.76
  5. Step 5: Solve for x
    x = 2,557,321,975.76/56,597.22
  6. Step 6: Final answer
    x = 45,184.59

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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.