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Finding the Fourth Proportional to 77,095.84, 106,410.04 and 50,191.50

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Solution

The fourth proportional to 77,095.84, 106,410.04 and 50,191.50 is: 69,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,095.84 : 106,410.04 = 50,191.50 : x
  2. Step 2: Convert to fraction form
    77,095.84/106,410.04 = 50,191.50/x
  3. Step 3: Cross multiply
    77,095.84x = 106,410.04 × 50,191.50
  4. Step 4: Simplify right side
    77,095.84x = 5,340,879,522.66
  5. Step 5: Solve for x
    x = 5,340,879,522.66/77,095.84
  6. Step 6: Final answer
    x = 69,275.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.