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Finding the Fourth Proportional to 57,294, 85,975.56 and 24,462

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Solution

The fourth proportional to 57,294, 85,975.56 and 24,462 is: 36,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,294 : 85,975.56 = 24,462 : x
  2. Step 2: Convert to fraction form
    57,294/85,975.56 = 24,462/x
  3. Step 3: Cross multiply
    57,294x = 85,975.56 × 24,462
  4. Step 4: Simplify right side
    57,294x = 2,103,134,148.72
  5. Step 5: Solve for x
    x = 2,103,134,148.72/57,294
  6. Step 6: Final answer
    x = 36,707.76

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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.