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Finding the Fourth Proportional to 53,509.70, 73,840.53 and 29,309.41

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Solution

The fourth proportional to 53,509.70, 73,840.53 and 29,309.41 is: 40,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,509.70 : 73,840.53 = 29,309.41 : x
  2. Step 2: Convert to fraction form
    53,509.70/73,840.53 = 29,309.41/x
  3. Step 3: Cross multiply
    53,509.70x = 73,840.53 × 29,309.41
  4. Step 4: Simplify right side
    53,509.70x = 2,164,222,368.39
  5. Step 5: Solve for x
    x = 2,164,222,368.39/53,509.70
  6. Step 6: Final answer
    x = 40,445.42

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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.