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Finding the Fourth Proportional to 56,504.92, 77,980.44 and 31,354.42

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Solution

The fourth proportional to 56,504.92, 77,980.44 and 31,354.42 is: 43,271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,504.92 : 77,980.44 = 31,354.42 : x
  2. Step 2: Convert to fraction form
    56,504.92/77,980.44 = 31,354.42/x
  3. Step 3: Cross multiply
    56,504.92x = 77,980.44 × 31,354.42
  4. Step 4: Simplify right side
    56,504.92x = 2,445,031,584.11
  5. Step 5: Solve for x
    x = 2,445,031,584.11/56,504.92
  6. Step 6: Final answer
    x = 43,271.13

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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.