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Finding the Fourth Proportional to 60,057.32, 82,825.14 and 50,019.08

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Solution

The fourth proportional to 60,057.32, 82,825.14 and 50,019.08 is: 68,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,057.32 : 82,825.14 = 50,019.08 : x
  2. Step 2: Convert to fraction form
    60,057.32/82,825.14 = 50,019.08/x
  3. Step 3: Cross multiply
    60,057.32x = 82,825.14 × 50,019.08
  4. Step 4: Simplify right side
    60,057.32x = 4,142,837,303.67
  5. Step 5: Solve for x
    x = 4,142,837,303.67/60,057.32
  6. Step 6: Final answer
    x = 68,981.39

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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.