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Finding the Fourth Proportional to 94,893.21, 130,952.34 and 52,451.46

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Solution

The fourth proportional to 94,893.21, 130,952.34 and 52,451.46 is: 72,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,893.21 : 130,952.34 = 52,451.46 : x
  2. Step 2: Convert to fraction form
    94,893.21/130,952.34 = 52,451.46/x
  3. Step 3: Cross multiply
    94,893.21x = 130,952.34 × 52,451.46
  4. Step 4: Simplify right side
    94,893.21x = 6,868,641,423.42
  5. Step 5: Solve for x
    x = 6,868,641,423.42/94,893.21
  6. Step 6: Final answer
    x = 72,382.85

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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.