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Finding the Fourth Proportional to 27,429.52, 37,853 and 14,854.52

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Solution

The fourth proportional to 27,429.52, 37,853 and 14,854.52 is: 20,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,429.52 : 37,853 = 14,854.52 : x
  2. Step 2: Convert to fraction form
    27,429.52/37,853 = 14,854.52/x
  3. Step 3: Cross multiply
    27,429.52x = 37,853 × 14,854.52
  4. Step 4: Simplify right side
    27,429.52x = 562,288,145.56
  5. Step 5: Solve for x
    x = 562,288,145.56/27,429.52
  6. Step 6: Final answer
    x = 20,499.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.