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Finding the Fourth Proportional to 56,322.26, 77,742.03 and 32,464.88

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Solution

The fourth proportional to 56,322.26, 77,742.03 and 32,464.88 is: 44,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,322.26 : 77,742.03 = 32,464.88 : x
  2. Step 2: Convert to fraction form
    56,322.26/77,742.03 = 32,464.88/x
  3. Step 3: Cross multiply
    56,322.26x = 77,742.03 × 32,464.88
  4. Step 4: Simplify right side
    56,322.26x = 2,523,885,674.91
  5. Step 5: Solve for x
    x = 2,523,885,674.91/56,322.26
  6. Step 6: Final answer
    x = 44,811.51

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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.