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Finding the Fourth Proportional to 58,222, 80,342.58 and 34,343.20

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Solution

The fourth proportional to 58,222, 80,342.58 and 34,343.20 is: 47,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,222 : 80,342.58 = 34,343.20 : x
  2. Step 2: Convert to fraction form
    58,222/80,342.58 = 34,343.20/x
  3. Step 3: Cross multiply
    58,222x = 80,342.58 × 34,343.20
  4. Step 4: Simplify right side
    58,222x = 2,759,221,293.46
  5. Step 5: Solve for x
    x = 2,759,221,293.46/58,222
  6. Step 6: Final answer
    x = 47,391.39

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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.