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Finding the Fourth Proportional to 40,802.98, 56,308.53 and 22,654

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Solution

The fourth proportional to 40,802.98, 56,308.53 and 22,654 is: 31,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,802.98 : 56,308.53 = 22,654 : x
  2. Step 2: Convert to fraction form
    40,802.98/56,308.53 = 22,654/x
  3. Step 3: Cross multiply
    40,802.98x = 56,308.53 × 22,654
  4. Step 4: Simplify right side
    40,802.98x = 1,275,613,438.62
  5. Step 5: Solve for x
    x = 1,275,613,438.62/40,802.98
  6. Step 6: Final answer
    x = 31,262.75

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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.