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Finding the Fourth Proportional to 34,373, 51,562.50 and 9,749

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Solution

The fourth proportional to 34,373, 51,562.50 and 9,749 is: 14,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,373 : 51,562.50 = 9,749 : x
  2. Step 2: Convert to fraction form
    34,373/51,562.50 = 9,749/x
  3. Step 3: Cross multiply
    34,373x = 51,562.50 × 9,749
  4. Step 4: Simplify right side
    34,373x = 502,682,812.50
  5. Step 5: Solve for x
    x = 502,682,812.50/34,373
  6. Step 6: Final answer
    x = 14,624.35

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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.