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Finding the Fourth Proportional to 55,649.46, 83,472.97 and 13,529.76

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Solution

The fourth proportional to 55,649.46, 83,472.97 and 13,529.76 is: 20,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,649.46 : 83,472.97 = 13,529.76 : x
  2. Step 2: Convert to fraction form
    55,649.46/83,472.97 = 13,529.76/x
  3. Step 3: Cross multiply
    55,649.46x = 83,472.97 × 13,529.76
  4. Step 4: Simplify right side
    55,649.46x = 1,129,369,182.94
  5. Step 5: Solve for x
    x = 1,129,369,182.94/55,649.46
  6. Step 6: Final answer
    x = 20,294.34

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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.