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Finding the Fourth Proportional to 57,032.01, 85,548.15 and 33,642

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Solution

The fourth proportional to 57,032.01, 85,548.15 and 33,642 is: 50,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,032.01 : 85,548.15 = 33,642 : x
  2. Step 2: Convert to fraction form
    57,032.01/85,548.15 = 33,642/x
  3. Step 3: Cross multiply
    57,032.01x = 85,548.15 × 33,642
  4. Step 4: Simplify right side
    57,032.01x = 2,878,010,862.30
  5. Step 5: Solve for x
    x = 2,878,010,862.30/57,032.01
  6. Step 6: Final answer
    x = 50,463.08

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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.