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Finding the Fourth Proportional to 53,969.34, 74,478 and 30,097.02

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Solution

The fourth proportional to 53,969.34, 74,478 and 30,097.02 is: 41,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,969.34 : 74,478 = 30,097.02 : x
  2. Step 2: Convert to fraction form
    53,969.34/74,478 = 30,097.02/x
  3. Step 3: Cross multiply
    53,969.34x = 74,478 × 30,097.02
  4. Step 4: Simplify right side
    53,969.34x = 2,241,565,855.56
  5. Step 5: Solve for x
    x = 2,241,565,855.56/53,969.34
  6. Step 6: Final answer
    x = 41,534.06

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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.