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Finding the Fourth Proportional to 50,974, 70,347.24 and 28,618

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Solution

The fourth proportional to 50,974, 70,347.24 and 28,618 is: 39,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,974 : 70,347.24 = 28,618 : x
  2. Step 2: Convert to fraction form
    50,974/70,347.24 = 28,618/x
  3. Step 3: Cross multiply
    50,974x = 70,347.24 × 28,618
  4. Step 4: Simplify right side
    50,974x = 2,013,197,314.32
  5. Step 5: Solve for x
    x = 2,013,197,314.32/50,974
  6. Step 6: Final answer
    x = 39,494.59

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