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Finding the Fourth Proportional to 35,103.52, 52,647.52 and 10,138.15

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Solution

The fourth proportional to 35,103.52, 52,647.52 and 10,138.15 is: 15,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,103.52 : 52,647.52 = 10,138.15 : x
  2. Step 2: Convert to fraction form
    35,103.52/52,647.52 = 10,138.15/x
  3. Step 3: Cross multiply
    35,103.52x = 52,647.52 × 10,138.15
  4. Step 4: Simplify right side
    35,103.52x = 533,748,454.89
  5. Step 5: Solve for x
    x = 533,748,454.89/35,103.52
  6. Step 6: Final answer
    x = 15,204.98

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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.