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Finding the Fourth Proportional to 19,377.50, 29,066.53 and 5,526.50

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Solution

The fourth proportional to 19,377.50, 29,066.53 and 5,526.50 is: 8,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,377.50 : 29,066.53 = 5,526.50 : x
  2. Step 2: Convert to fraction form
    19,377.50/29,066.53 = 5,526.50/x
  3. Step 3: Cross multiply
    19,377.50x = 29,066.53 × 5,526.50
  4. Step 4: Simplify right side
    19,377.50x = 160,636,178.05
  5. Step 5: Solve for x
    x = 160,636,178.05/19,377.50
  6. Step 6: Final answer
    x = 8,289.83

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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.