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Finding the Fourth Proportional to 35,473.84, 53,210.76 and 9,181.24

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Solution

The fourth proportional to 35,473.84, 53,210.76 and 9,181.24 is: 13,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,473.84 : 53,210.76 = 9,181.24 : x
  2. Step 2: Convert to fraction form
    35,473.84/53,210.76 = 9,181.24/x
  3. Step 3: Cross multiply
    35,473.84x = 53,210.76 × 9,181.24
  4. Step 4: Simplify right side
    35,473.84x = 488,540,758.14
  5. Step 5: Solve for x
    x = 488,540,758.14/35,473.84
  6. Step 6: Final answer
    x = 13,771.86

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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.