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Finding the Fourth Proportional to 41,784.80, 57,658.80 and 23,637.50

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Solution

The fourth proportional to 41,784.80, 57,658.80 and 23,637.50 is: 32,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,784.80 : 57,658.80 = 23,637.50 : x
  2. Step 2: Convert to fraction form
    41,784.80/57,658.80 = 23,637.50/x
  3. Step 3: Cross multiply
    41,784.80x = 57,658.80 × 23,637.50
  4. Step 4: Simplify right side
    41,784.80x = 1,362,909,885
  5. Step 5: Solve for x
    x = 1,362,909,885/41,784.80
  6. Step 6: Final answer
    x = 32,617.36

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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.