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Finding the Fourth Proportional to 38,043, 57,066.12 and 10,341

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Solution

The fourth proportional to 38,043, 57,066.12 and 10,341 is: 15,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,043 : 57,066.12 = 10,341 : x
  2. Step 2: Convert to fraction form
    38,043/57,066.12 = 10,341/x
  3. Step 3: Cross multiply
    38,043x = 57,066.12 × 10,341
  4. Step 4: Simplify right side
    38,043x = 590,120,746.92
  5. Step 5: Solve for x
    x = 590,120,746.92/38,043
  6. Step 6: Final answer
    x = 15,511.94

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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.