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Finding the Fourth Proportional to 57,294, 79,065.99 and 32,143.50

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Solution

The fourth proportional to 57,294, 79,065.99 and 32,143.50 is: 44,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,294 : 79,065.99 = 32,143.50 : x
  2. Step 2: Convert to fraction form
    57,294/79,065.99 = 32,143.50/x
  3. Step 3: Cross multiply
    57,294x = 79,065.99 × 32,143.50
  4. Step 4: Simplify right side
    57,294x = 2,541,457,649.57
  5. Step 5: Solve for x
    x = 2,541,457,649.57/57,294
  6. Step 6: Final answer
    x = 44,358.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.