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Finding the Fourth Proportional to 52,457.46, 72,391.84 and 28,584.54

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Solution

The fourth proportional to 52,457.46, 72,391.84 and 28,584.54 is: 39,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,457.46 : 72,391.84 = 28,584.54 : x
  2. Step 2: Convert to fraction form
    52,457.46/72,391.84 = 28,584.54/x
  3. Step 3: Cross multiply
    52,457.46x = 72,391.84 × 28,584.54
  4. Step 4: Simplify right side
    52,457.46x = 2,069,287,446.15
  5. Step 5: Solve for x
    x = 2,069,287,446.15/52,457.46
  6. Step 6: Final answer
    x = 39,446.96

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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.