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Finding the Fourth Proportional to 76,561, 114,841.50 and 21,157

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Solution

The fourth proportional to 76,561, 114,841.50 and 21,157 is: 31,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,561 : 114,841.50 = 21,157 : x
  2. Step 2: Convert to fraction form
    76,561/114,841.50 = 21,157/x
  3. Step 3: Cross multiply
    76,561x = 114,841.50 × 21,157
  4. Step 4: Simplify right side
    76,561x = 2,429,701,615.50
  5. Step 5: Solve for x
    x = 2,429,701,615.50/76,561
  6. Step 6: Final answer
    x = 31,735.50

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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.