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Finding the Fourth Proportional to 56,340, 77,749.20 and 31,191.12

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Solution

The fourth proportional to 56,340, 77,749.20 and 31,191.12 is: 43,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,340 : 77,749.20 = 31,191.12 : x
  2. Step 2: Convert to fraction form
    56,340/77,749.20 = 31,191.12/x
  3. Step 3: Cross multiply
    56,340x = 77,749.20 × 31,191.12
  4. Step 4: Simplify right side
    56,340x = 2,425,084,627.10
  5. Step 5: Solve for x
    x = 2,425,084,627.10/56,340
  6. Step 6: Final answer
    x = 43,043.75

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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.