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Finding the Fourth Proportional to 77,152.40, 115,469.40 and 53,824.40

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Solution

The fourth proportional to 77,152.40, 115,469.40 and 53,824.40 is: 80,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,152.40 : 115,469.40 = 53,824.40 : x
  2. Step 2: Convert to fraction form
    77,152.40/115,469.40 = 53,824.40/x
  3. Step 3: Cross multiply
    77,152.40x = 115,469.40 × 53,824.40
  4. Step 4: Simplify right side
    77,152.40x = 6,215,071,173.36
  5. Step 5: Solve for x
    x = 6,215,071,173.36/77,152.40
  6. Step 6: Final answer
    x = 80,555.77

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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.