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Finding the Fourth Proportional to 46,589.40, 64,294.14 and 25,369.08

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Solution

The fourth proportional to 46,589.40, 64,294.14 and 25,369.08 is: 35,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,589.40 : 64,294.14 = 25,369.08 : x
  2. Step 2: Convert to fraction form
    46,589.40/64,294.14 = 25,369.08/x
  3. Step 3: Cross multiply
    46,589.40x = 64,294.14 × 25,369.08
  4. Step 4: Simplify right side
    46,589.40x = 1,631,083,181.19
  5. Step 5: Solve for x
    x = 1,631,083,181.19/46,589.40
  6. Step 6: Final answer
    x = 35,009.75

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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.