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Finding the Fourth Proportional to 57,846.60, 86,726.70 and 24,539.40

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Solution

The fourth proportional to 57,846.60, 86,726.70 and 24,539.40 is: 36,790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,846.60 : 86,726.70 = 24,539.40 : x
  2. Step 2: Convert to fraction form
    57,846.60/86,726.70 = 24,539.40/x
  3. Step 3: Cross multiply
    57,846.60x = 86,726.70 × 24,539.40
  4. Step 4: Simplify right side
    57,846.60x = 2,128,221,181.98
  5. Step 5: Solve for x
    x = 2,128,221,181.98/57,846.60
  6. Step 6: Final answer
    x = 36,790.77

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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.