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Finding the Fourth Proportional to 77,572.80, 116,359.08 and 24,990

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Solution

The fourth proportional to 77,572.80, 116,359.08 and 24,990 is: 37,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,572.80 : 116,359.08 = 24,990 : x
  2. Step 2: Convert to fraction form
    77,572.80/116,359.08 = 24,990/x
  3. Step 3: Cross multiply
    77,572.80x = 116,359.08 × 24,990
  4. Step 4: Simplify right side
    77,572.80x = 2,907,813,409.20
  5. Step 5: Solve for x
    x = 2,907,813,409.20/77,572.80
  6. Step 6: Final answer
    x = 37,484.96

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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.