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Finding the Fourth Proportional to 56,322.96, 77,725.44 and 32,453.88

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Solution

The fourth proportional to 56,322.96, 77,725.44 and 32,453.88 is: 44,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,322.96 : 77,725.44 = 32,453.88 : x
  2. Step 2: Convert to fraction form
    56,322.96/77,725.44 = 32,453.88/x
  3. Step 3: Cross multiply
    56,322.96x = 77,725.44 × 32,453.88
  4. Step 4: Simplify right side
    56,322.96x = 2,522,492,102.71
  5. Step 5: Solve for x
    x = 2,522,492,102.71/56,322.96
  6. Step 6: Final answer
    x = 44,786.21

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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.