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Finding the Fourth Proportional to 42,564.36, 63,781.74 and 20,347.20

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Solution

The fourth proportional to 42,564.36, 63,781.74 and 20,347.20 is: 30,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,564.36 : 63,781.74 = 20,347.20 : x
  2. Step 2: Convert to fraction form
    42,564.36/63,781.74 = 20,347.20/x
  3. Step 3: Cross multiply
    42,564.36x = 63,781.74 × 20,347.20
  4. Step 4: Simplify right side
    42,564.36x = 1,297,779,820.13
  5. Step 5: Solve for x
    x = 1,297,779,820.13/42,564.36
  6. Step 6: Final answer
    x = 30,489.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.