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Finding the Fourth Proportional to 19,538.01, 29,306.61 and 4,747.01

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Solution

The fourth proportional to 19,538.01, 29,306.61 and 4,747.01 is: 7,120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.01 : 29,306.61 = 4,747.01 : x
  2. Step 2: Convert to fraction form
    19,538.01/29,306.61 = 4,747.01/x
  3. Step 3: Cross multiply
    19,538.01x = 29,306.61 × 4,747.01
  4. Step 4: Simplify right side
    19,538.01x = 139,118,624.20
  5. Step 5: Solve for x
    x = 139,118,624.20/19,538.01
  6. Step 6: Final answer
    x = 7,120.41

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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.