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Finding the Fourth Proportional to 76,467.50, 114,701.27 and 23,881.50

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Solution

The fourth proportional to 76,467.50, 114,701.27 and 23,881.50 is: 35,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,467.50 : 114,701.27 = 23,881.50 : x
  2. Step 2: Convert to fraction form
    76,467.50/114,701.27 = 23,881.50/x
  3. Step 3: Cross multiply
    76,467.50x = 114,701.27 × 23,881.50
  4. Step 4: Simplify right side
    76,467.50x = 2,739,238,379.51
  5. Step 5: Solve for x
    x = 2,739,238,379.51/76,467.50
  6. Step 6: Final answer
    x = 35,822.26

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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.