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Finding the Fourth Proportional to 34,697.30, 52,046.08 and 8,402

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Solution

The fourth proportional to 34,697.30, 52,046.08 and 8,402 is: 12,603.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,697.30 : 52,046.08 = 8,402 : x
  2. Step 2: Convert to fraction form
    34,697.30/52,046.08 = 8,402/x
  3. Step 3: Cross multiply
    34,697.30x = 52,046.08 × 8,402
  4. Step 4: Simplify right side
    34,697.30x = 437,291,164.16
  5. Step 5: Solve for x
    x = 437,291,164.16/34,697.30
  6. Step 6: Final answer
    x = 12,603.03

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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.