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Finding the Fourth Proportional to 53,106.51, 73,287 and 29,233.01

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Solution

The fourth proportional to 53,106.51, 73,287 and 29,233.01 is: 40,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,106.51 : 73,287 = 29,233.01 : x
  2. Step 2: Convert to fraction form
    53,106.51/73,287 = 29,233.01/x
  3. Step 3: Cross multiply
    53,106.51x = 73,287 × 29,233.01
  4. Step 4: Simplify right side
    53,106.51x = 2,142,399,237.44
  5. Step 5: Solve for x
    x = 2,142,399,237.44/53,106.51
  6. Step 6: Final answer
    x = 40,341.56

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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.