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Finding the Fourth Proportional to 77,574.80, 116,362.08 and 24,992

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Solution

The fourth proportional to 77,574.80, 116,362.08 and 24,992 is: 37,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,574.80 : 116,362.08 = 24,992 : x
  2. Step 2: Convert to fraction form
    77,574.80/116,362.08 = 24,992/x
  3. Step 3: Cross multiply
    77,574.80x = 116,362.08 × 24,992
  4. Step 4: Simplify right side
    77,574.80x = 2,908,121,103.36
  5. Step 5: Solve for x
    x = 2,908,121,103.36/77,574.80
  6. Step 6: Final answer
    x = 37,487.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.