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Finding the Fourth Proportional to 53,470.34, 73,788.14 and 29,596.50

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Solution

The fourth proportional to 53,470.34, 73,788.14 and 29,596.50 is: 40,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,470.34 : 73,788.14 = 29,596.50 : x
  2. Step 2: Convert to fraction form
    53,470.34/73,788.14 = 29,596.50/x
  3. Step 3: Cross multiply
    53,470.34x = 73,788.14 × 29,596.50
  4. Step 4: Simplify right side
    53,470.34x = 2,183,870,685.51
  5. Step 5: Solve for x
    x = 2,183,870,685.51/53,470.34
  6. Step 6: Final answer
    x = 40,842.66

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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.