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Finding the Fourth Proportional to 38,184, 52,667.04 and 33,138.24

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Solution

The fourth proportional to 38,184, 52,667.04 and 33,138.24 is: 45,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,184 : 52,667.04 = 33,138.24 : x
  2. Step 2: Convert to fraction form
    38,184/52,667.04 = 33,138.24/x
  3. Step 3: Cross multiply
    38,184x = 52,667.04 × 33,138.24
  4. Step 4: Simplify right side
    38,184x = 1,745,293,011.61
  5. Step 5: Solve for x
    x = 1,745,293,011.61/38,184
  6. Step 6: Final answer
    x = 45,707.44

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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.