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Finding the Fourth Proportional to 35,013.15, 52,511.72 and 10,053

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Solution

The fourth proportional to 35,013.15, 52,511.72 and 10,053 is: 15,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,013.15 : 52,511.72 = 10,053 : x
  2. Step 2: Convert to fraction form
    35,013.15/52,511.72 = 10,053/x
  3. Step 3: Cross multiply
    35,013.15x = 52,511.72 × 10,053
  4. Step 4: Simplify right side
    35,013.15x = 527,900,270.90
  5. Step 5: Solve for x
    x = 527,900,270.90/35,013.15
  6. Step 6: Final answer
    x = 15,077.20

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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.