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Finding the Fourth Proportional to 57,139.22, 85,656.32 and 19,690.40

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Solution

The fourth proportional to 57,139.22, 85,656.32 and 19,690.40 is: 29,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,139.22 : 85,656.32 = 19,690.40 : x
  2. Step 2: Convert to fraction form
    57,139.22/85,656.32 = 19,690.40/x
  3. Step 3: Cross multiply
    57,139.22x = 85,656.32 × 19,690.40
  4. Step 4: Simplify right side
    57,139.22x = 1,686,607,203.33
  5. Step 5: Solve for x
    x = 1,686,607,203.33/57,139.22
  6. Step 6: Final answer
    x = 29,517.50

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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.