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Finding the Fourth Proportional to 35,138.64, 52,699.32 and 10,514.64

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Solution

The fourth proportional to 35,138.64, 52,699.32 and 10,514.64 is: 15,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,138.64 : 52,699.32 = 10,514.64 : x
  2. Step 2: Convert to fraction form
    35,138.64/52,699.32 = 10,514.64/x
  3. Step 3: Cross multiply
    35,138.64x = 52,699.32 × 10,514.64
  4. Step 4: Simplify right side
    35,138.64x = 554,114,378.04
  5. Step 5: Solve for x
    x = 554,114,378.04/35,138.64
  6. Step 6: Final answer
    x = 15,769.37

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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.