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Finding the Fourth Proportional to 39,802.60, 59,742.30 and 20,103.40

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Solution

The fourth proportional to 39,802.60, 59,742.30 and 20,103.40 is: 30,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,802.60 : 59,742.30 = 20,103.40 : x
  2. Step 2: Convert to fraction form
    39,802.60/59,742.30 = 20,103.40/x
  3. Step 3: Cross multiply
    39,802.60x = 59,742.30 × 20,103.40
  4. Step 4: Simplify right side
    39,802.60x = 1,201,023,353.82
  5. Step 5: Solve for x
    x = 1,201,023,353.82/39,802.60
  6. Step 6: Final answer
    x = 30,174.49

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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.