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Finding the Fourth Proportional to 56,735, 78,297 and 31,584.52

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Solution

The fourth proportional to 56,735, 78,297 and 31,584.52 is: 43,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,735 : 78,297 = 31,584.52 : x
  2. Step 2: Convert to fraction form
    56,735/78,297 = 31,584.52/x
  3. Step 3: Cross multiply
    56,735x = 78,297 × 31,584.52
  4. Step 4: Simplify right side
    56,735x = 2,472,973,162.44
  5. Step 5: Solve for x
    x = 2,472,973,162.44/56,735
  6. Step 6: Final answer
    x = 43,588.14

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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.