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Finding the Fourth Proportional to 33,417.60, 50,133.60 and 10,046.40

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Solution

The fourth proportional to 33,417.60, 50,133.60 and 10,046.40 is: 15,071.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,417.60 : 50,133.60 = 10,046.40 : x
  2. Step 2: Convert to fraction form
    33,417.60/50,133.60 = 10,046.40/x
  3. Step 3: Cross multiply
    33,417.60x = 50,133.60 × 10,046.40
  4. Step 4: Simplify right side
    33,417.60x = 503,662,199.04
  5. Step 5: Solve for x
    x = 503,662,199.04/33,417.60
  6. Step 6: Final answer
    x = 15,071.76

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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.