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Finding the Fourth Proportional to 77,312.73, 115,859.74 and 32,894.76

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Solution

The fourth proportional to 77,312.73, 115,859.74 and 32,894.76 is: 49,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,312.73 : 115,859.74 = 32,894.76 : x
  2. Step 2: Convert to fraction form
    77,312.73/115,859.74 = 32,894.76/x
  3. Step 3: Cross multiply
    77,312.73x = 115,859.74 × 32,894.76
  4. Step 4: Simplify right side
    77,312.73x = 3,811,178,340.96
  5. Step 5: Solve for x
    x = 3,811,178,340.96/77,312.73
  6. Step 6: Final answer
    x = 49,295.61

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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.