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Finding the Fourth Proportional to 50,919.32, 70,219.85 and 30,498.12

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Solution

The fourth proportional to 50,919.32, 70,219.85 and 30,498.12 is: 42,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,919.32 : 70,219.85 = 30,498.12 : x
  2. Step 2: Convert to fraction form
    50,919.32/70,219.85 = 30,498.12/x
  3. Step 3: Cross multiply
    50,919.32x = 70,219.85 × 30,498.12
  4. Step 4: Simplify right side
    50,919.32x = 2,141,573,259.19
  5. Step 5: Solve for x
    x = 2,141,573,259.19/50,919.32
  6. Step 6: Final answer
    x = 42,058.17

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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.