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Finding the Fourth Proportional to 56,734.57, 78,293.04 and 31,240.40

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Solution

The fourth proportional to 56,734.57, 78,293.04 and 31,240.40 is: 43,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,734.57 : 78,293.04 = 31,240.40 : x
  2. Step 2: Convert to fraction form
    56,734.57/78,293.04 = 31,240.40/x
  3. Step 3: Cross multiply
    56,734.57x = 78,293.04 × 31,240.40
  4. Step 4: Simplify right side
    56,734.57x = 2,445,905,886.82
  5. Step 5: Solve for x
    x = 2,445,905,886.82/56,734.57
  6. Step 6: Final answer
    x = 43,111.38

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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.