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Finding the Fourth Proportional to 57,263.04, 85,934.64 and 38,578.74

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Solution

The fourth proportional to 57,263.04, 85,934.64 and 38,578.74 is: 57,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,263.04 : 85,934.64 = 38,578.74 : x
  2. Step 2: Convert to fraction form
    57,263.04/85,934.64 = 38,578.74/x
  3. Step 3: Cross multiply
    57,263.04x = 85,934.64 × 38,578.74
  4. Step 4: Simplify right side
    57,263.04x = 3,315,250,133.55
  5. Step 5: Solve for x
    x = 3,315,250,133.55/57,263.04
  6. Step 6: Final answer
    x = 57,895.11

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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.