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Finding the Fourth Proportional to 56,640.60, 84,971.10 and 23,342.46

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Solution

The fourth proportional to 56,640.60, 84,971.10 and 23,342.46 is: 35,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,640.60 : 84,971.10 = 23,342.46 : x
  2. Step 2: Convert to fraction form
    56,640.60/84,971.10 = 23,342.46/x
  3. Step 3: Cross multiply
    56,640.60x = 84,971.10 × 23,342.46
  4. Step 4: Simplify right side
    56,640.60x = 1,983,434,502.91
  5. Step 5: Solve for x
    x = 1,983,434,502.91/56,640.60
  6. Step 6: Final answer
    x = 35,017.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.