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Finding the Fourth Proportional to 34,697.70, 52,041.15 and 9,735.30

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Solution

The fourth proportional to 34,697.70, 52,041.15 and 9,735.30 is: 14,601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,697.70 : 52,041.15 = 9,735.30 : x
  2. Step 2: Convert to fraction form
    34,697.70/52,041.15 = 9,735.30/x
  3. Step 3: Cross multiply
    34,697.70x = 52,041.15 × 9,735.30
  4. Step 4: Simplify right side
    34,697.70x = 506,636,207.60
  5. Step 5: Solve for x
    x = 506,636,207.60/34,697.70
  6. Step 6: Final answer
    x = 14,601.43

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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.