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Finding the Fourth Proportional to 33,148.40, 49,722.60 and 14,437.40

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Solution

The fourth proportional to 33,148.40, 49,722.60 and 14,437.40 is: 21,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,148.40 : 49,722.60 = 14,437.40 : x
  2. Step 2: Convert to fraction form
    33,148.40/49,722.60 = 14,437.40/x
  3. Step 3: Cross multiply
    33,148.40x = 49,722.60 × 14,437.40
  4. Step 4: Simplify right side
    33,148.40x = 717,865,065.24
  5. Step 5: Solve for x
    x = 717,865,065.24/33,148.40
  6. Step 6: Final answer
    x = 21,656.10

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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.