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Finding the Fourth Proportional to 59,497.25, 82,100.12 and 35,623.31

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Solution

The fourth proportional to 59,497.25, 82,100.12 and 35,623.31 is: 49,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,497.25 : 82,100.12 = 35,623.31 : x
  2. Step 2: Convert to fraction form
    59,497.25/82,100.12 = 35,623.31/x
  3. Step 3: Cross multiply
    59,497.25x = 82,100.12 × 35,623.31
  4. Step 4: Simplify right side
    59,497.25x = 2,924,677,437.18
  5. Step 5: Solve for x
    x = 2,924,677,437.18/59,497.25
  6. Step 6: Final answer
    x = 49,156.52

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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.