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Finding the Fourth Proportional to 56,334.40, 77,748.42 and 32,141.32

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Solution

The fourth proportional to 56,334.40, 77,748.42 and 32,141.32 is: 44,358.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,334.40 : 77,748.42 = 32,141.32 : x
  2. Step 2: Convert to fraction form
    56,334.40/77,748.42 = 32,141.32/x
  3. Step 3: Cross multiply
    56,334.40x = 77,748.42 × 32,141.32
  4. Step 4: Simplify right side
    56,334.40x = 2,498,936,846.71
  5. Step 5: Solve for x
    x = 2,498,936,846.71/56,334.40
  6. Step 6: Final answer
    x = 44,358.99

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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.