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Finding the Fourth Proportional to 54,413, 75,071.04 and 34,271.56

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Solution

The fourth proportional to 54,413, 75,071.04 and 34,271.56 is: 47,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,413 : 75,071.04 = 34,271.56 : x
  2. Step 2: Convert to fraction form
    54,413/75,071.04 = 34,271.56/x
  3. Step 3: Cross multiply
    54,413x = 75,071.04 × 34,271.56
  4. Step 4: Simplify right side
    54,413x = 2,572,801,651.62
  5. Step 5: Solve for x
    x = 2,572,801,651.62/54,413
  6. Step 6: Final answer
    x = 47,282.85

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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.