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Finding the Fourth Proportional to 34,909.64, 52,356.57 and 9,949.16

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Solution

The fourth proportional to 34,909.64, 52,356.57 and 9,949.16 is: 14,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,909.64 : 52,356.57 = 9,949.16 : x
  2. Step 2: Convert to fraction form
    34,909.64/52,356.57 = 9,949.16/x
  3. Step 3: Cross multiply
    34,909.64x = 52,356.57 × 9,949.16
  4. Step 4: Simplify right side
    34,909.64x = 520,903,630.20
  5. Step 5: Solve for x
    x = 520,903,630.20/34,909.64
  6. Step 6: Final answer
    x = 14,921.48

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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.