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Finding the Fourth Proportional to 58,497.67, 80,726.70 and 33,004

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Solution

The fourth proportional to 58,497.67, 80,726.70 and 33,004 is: 45,545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,497.67 : 80,726.70 = 33,004 : x
  2. Step 2: Convert to fraction form
    58,497.67/80,726.70 = 33,004/x
  3. Step 3: Cross multiply
    58,497.67x = 80,726.70 × 33,004
  4. Step 4: Simplify right side
    58,497.67x = 2,664,304,006.80
  5. Step 5: Solve for x
    x = 2,664,304,006.80/58,497.67
  6. Step 6: Final answer
    x = 45,545.47

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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.