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Finding the Fourth Proportional to 53,693.12, 74,095.22 and 29,819.58

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Solution

The fourth proportional to 53,693.12, 74,095.22 and 29,819.58 is: 41,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,693.12 : 74,095.22 = 29,819.58 : x
  2. Step 2: Convert to fraction form
    53,693.12/74,095.22 = 29,819.58/x
  3. Step 3: Cross multiply
    53,693.12x = 74,095.22 × 29,819.58
  4. Step 4: Simplify right side
    53,693.12x = 2,209,488,340.41
  5. Step 5: Solve for x
    x = 2,209,488,340.41/53,693.12
  6. Step 6: Final answer
    x = 41,150.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.