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Finding the Fourth Proportional to 33,293.66, 49,931.98 and 9,914.63

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Solution

The fourth proportional to 33,293.66, 49,931.98 and 9,914.63 is: 14,869.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,293.66 : 49,931.98 = 9,914.63 : x
  2. Step 2: Convert to fraction form
    33,293.66/49,931.98 = 9,914.63/x
  3. Step 3: Cross multiply
    33,293.66x = 49,931.98 × 9,914.63
  4. Step 4: Simplify right side
    33,293.66x = 495,056,832.42
  5. Step 5: Solve for x
    x = 495,056,832.42/33,293.66
  6. Step 6: Final answer
    x = 14,869.40

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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.