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Finding the Fourth Proportional to 30,010.52, 45,016.56 and 10,289

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Solution

The fourth proportional to 30,010.52, 45,016.56 and 10,289 is: 15,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,010.52 : 45,016.56 = 10,289 : x
  2. Step 2: Convert to fraction form
    30,010.52/45,016.56 = 10,289/x
  3. Step 3: Cross multiply
    30,010.52x = 45,016.56 × 10,289
  4. Step 4: Simplify right side
    30,010.52x = 463,175,385.84
  5. Step 5: Solve for x
    x = 463,175,385.84/30,010.52
  6. Step 6: Final answer
    x = 15,433.77

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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.