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Finding the Fourth Proportional to 116,461, 174,691.50 and 28,909

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Solution

The fourth proportional to 116,461, 174,691.50 and 28,909 is: 43,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,461 : 174,691.50 = 28,909 : x
  2. Step 2: Convert to fraction form
    116,461/174,691.50 = 28,909/x
  3. Step 3: Cross multiply
    116,461x = 174,691.50 × 28,909
  4. Step 4: Simplify right side
    116,461x = 5,050,156,573.50
  5. Step 5: Solve for x
    x = 5,050,156,573.50/116,461
  6. Step 6: Final answer
    x = 43,363.50

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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.