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Finding the Fourth Proportional to 57,762.16, 86,446.10 and 48,412.74

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Solution

The fourth proportional to 57,762.16, 86,446.10 and 48,412.74 is: 72,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762.16 : 86,446.10 = 48,412.74 : x
  2. Step 2: Convert to fraction form
    57,762.16/86,446.10 = 48,412.74/x
  3. Step 3: Cross multiply
    57,762.16x = 86,446.10 × 48,412.74
  4. Step 4: Simplify right side
    57,762.16x = 4,185,092,563.31
  5. Step 5: Solve for x
    x = 4,185,092,563.31/57,762.16
  6. Step 6: Final answer
    x = 72,453.88

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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.