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Finding the Fourth Proportional to 77,234.70, 106,597.74 and 45,405.24

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Solution

The fourth proportional to 77,234.70, 106,597.74 and 45,405.24 is: 62,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,234.70 : 106,597.74 = 45,405.24 : x
  2. Step 2: Convert to fraction form
    77,234.70/106,597.74 = 45,405.24/x
  3. Step 3: Cross multiply
    77,234.70x = 106,597.74 × 45,405.24
  4. Step 4: Simplify right side
    77,234.70x = 4,840,095,968.16
  5. Step 5: Solve for x
    x = 4,840,095,968.16/77,234.70
  6. Step 6: Final answer
    x = 62,667.38

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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.