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Finding the Fourth Proportional to 24,705.47, 37,058.29 and 5,985.47

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Solution

The fourth proportional to 24,705.47, 37,058.29 and 5,985.47 is: 8,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.47 : 37,058.29 = 5,985.47 : x
  2. Step 2: Convert to fraction form
    24,705.47/37,058.29 = 5,985.47/x
  3. Step 3: Cross multiply
    24,705.47x = 37,058.29 × 5,985.47
  4. Step 4: Simplify right side
    24,705.47x = 221,811,360.73
  5. Step 5: Solve for x
    x = 221,811,360.73/24,705.47
  6. Step 6: Final answer
    x = 8,978.23

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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.