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Finding the Fourth Proportional to 19,542.33, 29,313.06 and 4,751.34

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Solution

The fourth proportional to 19,542.33, 29,313.06 and 4,751.34 is: 7,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,542.33 : 29,313.06 = 4,751.34 : x
  2. Step 2: Convert to fraction form
    19,542.33/29,313.06 = 4,751.34/x
  3. Step 3: Cross multiply
    19,542.33x = 29,313.06 × 4,751.34
  4. Step 4: Simplify right side
    19,542.33x = 139,276,314.50
  5. Step 5: Solve for x
    x = 139,276,314.50/19,542.33
  6. Step 6: Final answer
    x = 7,126.90

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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.