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Finding the Fourth Proportional to 46,294.68, 69,578.16 and 38,447.64

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Solution

The fourth proportional to 46,294.68, 69,578.16 and 38,447.64 is: 57,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,294.68 : 69,578.16 = 38,447.64 : x
  2. Step 2: Convert to fraction form
    46,294.68/69,578.16 = 38,447.64/x
  3. Step 3: Cross multiply
    46,294.68x = 69,578.16 × 38,447.64
  4. Step 4: Simplify right side
    46,294.68x = 2,675,116,047.54
  5. Step 5: Solve for x
    x = 2,675,116,047.54/46,294.68
  6. Step 6: Final answer
    x = 57,784.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.