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Finding the Fourth Proportional to 76,551.96, 114,841.71 and 31,548.26

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Solution

The fourth proportional to 76,551.96, 114,841.71 and 31,548.26 is: 47,328.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,551.96 : 114,841.71 = 31,548.26 : x
  2. Step 2: Convert to fraction form
    76,551.96/114,841.71 = 31,548.26/x
  3. Step 3: Cross multiply
    76,551.96x = 114,841.71 × 31,548.26
  4. Step 4: Simplify right side
    76,551.96x = 3,623,056,125.92
  5. Step 5: Solve for x
    x = 3,623,056,125.92/76,551.96
  6. Step 6: Final answer
    x = 47,328.06

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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.