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Finding the Fourth Proportional to 53,010.72, 73,156.14 and 29,138

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Solution

The fourth proportional to 53,010.72, 73,156.14 and 29,138 is: 40,211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,010.72 : 73,156.14 = 29,138 : x
  2. Step 2: Convert to fraction form
    53,010.72/73,156.14 = 29,138/x
  3. Step 3: Cross multiply
    53,010.72x = 73,156.14 × 29,138
  4. Step 4: Simplify right side
    53,010.72x = 2,131,623,607.32
  5. Step 5: Solve for x
    x = 2,131,623,607.32/53,010.72
  6. Step 6: Final answer
    x = 40,211.18

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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.