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Finding the Fourth Proportional to 51,177.60, 76,809.60 and 24,904.80

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Solution

The fourth proportional to 51,177.60, 76,809.60 and 24,904.80 is: 37,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,177.60 : 76,809.60 = 24,904.80 : x
  2. Step 2: Convert to fraction form
    51,177.60/76,809.60 = 24,904.80/x
  3. Step 3: Cross multiply
    51,177.60x = 76,809.60 × 24,904.80
  4. Step 4: Simplify right side
    51,177.60x = 1,912,927,726.08
  5. Step 5: Solve for x
    x = 1,912,927,726.08/51,177.60
  6. Step 6: Final answer
    x = 37,378.22

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1.5x scale

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.