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Finding the Fourth Proportional to 55,263.46, 82,895.10 and 13,710.46

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Solution

The fourth proportional to 55,263.46, 82,895.10 and 13,710.46 is: 20,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,263.46 : 82,895.10 = 13,710.46 : x
  2. Step 2: Convert to fraction form
    55,263.46/82,895.10 = 13,710.46/x
  3. Step 3: Cross multiply
    55,263.46x = 82,895.10 × 13,710.46
  4. Step 4: Simplify right side
    55,263.46x = 1,136,529,952.75
  5. Step 5: Solve for x
    x = 1,136,529,952.75/55,263.46
  6. Step 6: Final answer
    x = 20,565.67

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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.