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Finding the Fourth Proportional to 35,132, 52,652.08 and 30,678.48

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Solution

The fourth proportional to 35,132, 52,652.08 and 30,678.48 is: 45,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,132 : 52,652.08 = 30,678.48 : x
  2. Step 2: Convert to fraction form
    35,132/52,652.08 = 30,678.48/x
  3. Step 3: Cross multiply
    35,132x = 52,652.08 × 30,678.48
  4. Step 4: Simplify right side
    35,132x = 1,615,285,783.24
  5. Step 5: Solve for x
    x = 1,615,285,783.24/35,132
  6. Step 6: Final answer
    x = 45,977.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.