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Finding the Fourth Proportional to 27,341.64, 40,994.46 and 10,703.52

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Solution

The fourth proportional to 27,341.64, 40,994.46 and 10,703.52 is: 16,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,341.64 : 40,994.46 = 10,703.52 : x
  2. Step 2: Convert to fraction form
    27,341.64/40,994.46 = 10,703.52/x
  3. Step 3: Cross multiply
    27,341.64x = 40,994.46 × 10,703.52
  4. Step 4: Simplify right side
    27,341.64x = 438,785,022.50
  5. Step 5: Solve for x
    x = 438,785,022.50/27,341.64
  6. Step 6: Final answer
    x = 16,048.23

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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.