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Finding the Fourth Proportional to 54,530.04, 75,251 and 30,656.82

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Solution

The fourth proportional to 54,530.04, 75,251 and 30,656.82 is: 42,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,530.04 : 75,251 = 30,656.82 : x
  2. Step 2: Convert to fraction form
    54,530.04/75,251 = 30,656.82/x
  3. Step 3: Cross multiply
    54,530.04x = 75,251 × 30,656.82
  4. Step 4: Simplify right side
    54,530.04x = 2,306,956,361.82
  5. Step 5: Solve for x
    x = 2,306,956,361.82/54,530.04
  6. Step 6: Final answer
    x = 42,306.16

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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.