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Finding the Fourth Proportional to 113,010, 169,518.24 and 29,904

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Solution

The fourth proportional to 113,010, 169,518.24 and 29,904 is: 44,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,010 : 169,518.24 = 29,904 : x
  2. Step 2: Convert to fraction form
    113,010/169,518.24 = 29,904/x
  3. Step 3: Cross multiply
    113,010x = 169,518.24 × 29,904
  4. Step 4: Simplify right side
    113,010x = 5,069,273,448.96
  5. Step 5: Solve for x
    x = 5,069,273,448.96/113,010
  6. Step 6: Final answer
    x = 44,856.86

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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.