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Finding the Fourth Proportional to 77,311.52, 106,688.09 and 45,482.46

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Solution

The fourth proportional to 77,311.52, 106,688.09 and 45,482.46 is: 62,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,311.52 : 106,688.09 = 45,482.46 : x
  2. Step 2: Convert to fraction form
    77,311.52/106,688.09 = 45,482.46/x
  3. Step 3: Cross multiply
    77,311.52x = 106,688.09 × 45,482.46
  4. Step 4: Simplify right side
    77,311.52x = 4,852,436,558.49
  5. Step 5: Solve for x
    x = 4,852,436,558.49/77,311.52
  6. Step 6: Final answer
    x = 62,764.73

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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.