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Finding the Fourth Proportional to 55,651.50, 83,482.11 and 14,098.50

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Solution

The fourth proportional to 55,651.50, 83,482.11 and 14,098.50 is: 21,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,651.50 : 83,482.11 = 14,098.50 : x
  2. Step 2: Convert to fraction form
    55,651.50/83,482.11 = 14,098.50/x
  3. Step 3: Cross multiply
    55,651.50x = 83,482.11 × 14,098.50
  4. Step 4: Simplify right side
    55,651.50x = 1,176,972,527.84
  5. Step 5: Solve for x
    x = 1,176,972,527.84/55,651.50
  6. Step 6: Final answer
    x = 21,148.98

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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.