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Finding the Fourth Proportional to 46,476.64, 69,707.64 and 38,629.54

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Solution

The fourth proportional to 46,476.64, 69,707.64 and 38,629.54 is: 57,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,476.64 : 69,707.64 = 38,629.54 : x
  2. Step 2: Convert to fraction form
    46,476.64/69,707.64 = 38,629.54/x
  3. Step 3: Cross multiply
    46,476.64x = 69,707.64 × 38,629.54
  4. Step 4: Simplify right side
    46,476.64x = 2,692,774,067.69
  5. Step 5: Solve for x
    x = 2,692,774,067.69/46,476.64
  6. Step 6: Final answer
    x = 57,938.23

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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.