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Finding the Fourth Proportional to 57,007.66, 85,527.16 and 23,743.30

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Solution

The fourth proportional to 57,007.66, 85,527.16 and 23,743.30 is: 35,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,007.66 : 85,527.16 = 23,743.30 : x
  2. Step 2: Convert to fraction form
    57,007.66/85,527.16 = 23,743.30/x
  3. Step 3: Cross multiply
    57,007.66x = 85,527.16 × 23,743.30
  4. Step 4: Simplify right side
    57,007.66x = 2,030,697,018.03
  5. Step 5: Solve for x
    x = 2,030,697,018.03/57,007.66
  6. Step 6: Final answer
    x = 35,621.48

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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.