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Finding the Fourth Proportional to 57,709.30, 86,551.80 and 24,430.45

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Solution

The fourth proportional to 57,709.30, 86,551.80 and 24,430.45 is: 36,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,709.30 : 86,551.80 = 24,430.45 : x
  2. Step 2: Convert to fraction form
    57,709.30/86,551.80 = 24,430.45/x
  3. Step 3: Cross multiply
    57,709.30x = 86,551.80 × 24,430.45
  4. Step 4: Simplify right side
    57,709.30x = 2,114,499,422.31
  5. Step 5: Solve for x
    x = 2,114,499,422.31/57,709.30
  6. Step 6: Final answer
    x = 36,640.53

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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.