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Finding the Fourth Proportional to 56,892.40, 78,511.24 and 31,741.84

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Solution

The fourth proportional to 56,892.40, 78,511.24 and 31,741.84 is: 43,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,892.40 : 78,511.24 = 31,741.84 : x
  2. Step 2: Convert to fraction form
    56,892.40/78,511.24 = 31,741.84/x
  3. Step 3: Cross multiply
    56,892.40x = 78,511.24 × 31,741.84
  4. Step 4: Simplify right side
    56,892.40x = 2,492,091,218.28
  5. Step 5: Solve for x
    x = 2,492,091,218.28/56,892.40
  6. Step 6: Final answer
    x = 43,803.59

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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.