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Finding the Fourth Proportional to 76,583.16, 114,813.54 and 38,611.98

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Solution

The fourth proportional to 76,583.16, 114,813.54 and 38,611.98 is: 57,887.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,583.16 : 114,813.54 = 38,611.98 : x
  2. Step 2: Convert to fraction form
    76,583.16/114,813.54 = 38,611.98/x
  3. Step 3: Cross multiply
    76,583.16x = 114,813.54 × 38,611.98
  4. Step 4: Simplify right side
    76,583.16x = 4,433,178,110.21
  5. Step 5: Solve for x
    x = 4,433,178,110.21/76,583.16
  6. Step 6: Final answer
    x = 57,887.11

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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.