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Finding the Fourth Proportional to 53,405.14, 73,696.14 and 29,530.24

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Solution

The fourth proportional to 53,405.14, 73,696.14 and 29,530.24 is: 40,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,405.14 : 73,696.14 = 29,530.24 : x
  2. Step 2: Convert to fraction form
    53,405.14/73,696.14 = 29,530.24/x
  3. Step 3: Cross multiply
    53,405.14x = 73,696.14 × 29,530.24
  4. Step 4: Simplify right side
    53,405.14x = 2,176,264,701.27
  5. Step 5: Solve for x
    x = 2,176,264,701.27/53,405.14
  6. Step 6: Final answer
    x = 40,750.10

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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.