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Finding the Fourth Proportional to 56,714.31, 78,265.75 and 31,569.75

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Solution

The fourth proportional to 56,714.31, 78,265.75 and 31,569.75 is: 43,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,714.31 : 78,265.75 = 31,569.75 : x
  2. Step 2: Convert to fraction form
    56,714.31/78,265.75 = 31,569.75/x
  3. Step 3: Cross multiply
    56,714.31x = 78,265.75 × 31,569.75
  4. Step 4: Simplify right side
    56,714.31x = 2,470,830,435.65
  5. Step 5: Solve for x
    x = 2,470,830,435.65/56,714.31
  6. Step 6: Final answer
    x = 43,566.26

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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.