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Finding the Fourth Proportional to 116,010, 174,015 and 28,458

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Solution

The fourth proportional to 116,010, 174,015 and 28,458 is: 42,687

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,010 : 174,015 = 28,458 : x
  2. Step 2: Convert to fraction form
    116,010/174,015 = 28,458/x
  3. Step 3: Cross multiply
    116,010x = 174,015 × 28,458
  4. Step 4: Simplify right side
    116,010x = 4,952,118,870
  5. Step 5: Solve for x
    x = 4,952,118,870/116,010
  6. Step 6: Final answer
    x = 42,687

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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.