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Finding the Fourth Proportional to 76,052.50, 104,952.81 and 42,524.98

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Solution

The fourth proportional to 76,052.50, 104,952.81 and 42,524.98 is: 58,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,052.50 : 104,952.81 = 42,524.98 : x
  2. Step 2: Convert to fraction form
    76,052.50/104,952.81 = 42,524.98/x
  3. Step 3: Cross multiply
    76,052.50x = 104,952.81 × 42,524.98
  4. Step 4: Simplify right side
    76,052.50x = 4,463,116,146.19
  5. Step 5: Solve for x
    x = 4,463,116,146.19/76,052.50
  6. Step 6: Final answer
    x = 58,684.67

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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.