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Finding the Fourth Proportional to 35,032, 52,547.14 and 10,072.12

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Solution

The fourth proportional to 35,032, 52,547.14 and 10,072.12 is: 15,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,032 : 52,547.14 = 10,072.12 : x
  2. Step 2: Convert to fraction form
    35,032/52,547.14 = 10,072.12/x
  3. Step 3: Cross multiply
    35,032x = 52,547.14 × 10,072.12
  4. Step 4: Simplify right side
    35,032x = 529,261,099.74
  5. Step 5: Solve for x
    x = 529,261,099.74/35,032
  6. Step 6: Final answer
    x = 15,107.93

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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.