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Finding the Fourth Proportional to 53,007.48, 73,146.78 and 29,133

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Solution

The fourth proportional to 53,007.48, 73,146.78 and 29,133 is: 40,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,007.48 : 73,146.78 = 29,133 : x
  2. Step 2: Convert to fraction form
    53,007.48/73,146.78 = 29,133/x
  3. Step 3: Cross multiply
    53,007.48x = 73,146.78 × 29,133
  4. Step 4: Simplify right side
    53,007.48x = 2,130,985,141.74
  5. Step 5: Solve for x
    x = 2,130,985,141.74/53,007.48
  6. Step 6: Final answer
    x = 40,201.59

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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.