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Finding the Fourth Proportional to 35,175.75, 48,547.17 and 20,064.96

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Solution

The fourth proportional to 35,175.75, 48,547.17 and 20,064.96 is: 27,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,175.75 : 48,547.17 = 20,064.96 : x
  2. Step 2: Convert to fraction form
    35,175.75/48,547.17 = 20,064.96/x
  3. Step 3: Cross multiply
    35,175.75x = 48,547.17 × 20,064.96
  4. Step 4: Simplify right side
    35,175.75x = 974,097,024.16
  5. Step 5: Solve for x
    x = 974,097,024.16/35,175.75
  6. Step 6: Final answer
    x = 27,692.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.