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Finding the Fourth Proportional to 53,602.14, 73,974.51 and 29,729.82

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Solution

The fourth proportional to 53,602.14, 73,974.51 and 29,729.82 is: 41,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,602.14 : 73,974.51 = 29,729.82 : x
  2. Step 2: Convert to fraction form
    53,602.14/73,974.51 = 29,729.82/x
  3. Step 3: Cross multiply
    53,602.14x = 73,974.51 × 29,729.82
  4. Step 4: Simplify right side
    53,602.14x = 2,199,248,866.89
  5. Step 5: Solve for x
    x = 2,199,248,866.89/53,602.14
  6. Step 6: Final answer
    x = 41,029.12

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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.