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Finding the Fourth Proportional to 77,957.34, 116,906.70 and 61,511.10

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Solution

The fourth proportional to 77,957.34, 116,906.70 and 61,511.10 is: 92,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,957.34 : 116,906.70 = 61,511.10 : x
  2. Step 2: Convert to fraction form
    77,957.34/116,906.70 = 61,511.10/x
  3. Step 3: Cross multiply
    77,957.34x = 116,906.70 × 61,511.10
  4. Step 4: Simplify right side
    77,957.34x = 7,191,059,714.37
  5. Step 5: Solve for x
    x = 7,191,059,714.37/77,957.34
  6. Step 6: Final answer
    x = 92,243.52

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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.