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Finding the Fourth Proportional to 57,809.84, 86,714.73 and 16,256.84

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Solution

The fourth proportional to 57,809.84, 86,714.73 and 16,256.84 is: 24,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,809.84 : 86,714.73 = 16,256.84 : x
  2. Step 2: Convert to fraction form
    57,809.84/86,714.73 = 16,256.84/x
  3. Step 3: Cross multiply
    57,809.84x = 86,714.73 × 16,256.84
  4. Step 4: Simplify right side
    57,809.84x = 1,409,707,057.68
  5. Step 5: Solve for x
    x = 1,409,707,057.68/57,809.84
  6. Step 6: Final answer
    x = 24,385.25

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1.5x scale

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.