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Finding the Fourth Proportional to 39,116.40, 58,577.40 and 31,340.40

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Solution

The fourth proportional to 39,116.40, 58,577.40 and 31,340.40 is: 46,932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,116.40 : 58,577.40 = 31,340.40 : x
  2. Step 2: Convert to fraction form
    39,116.40/58,577.40 = 31,340.40/x
  3. Step 3: Cross multiply
    39,116.40x = 58,577.40 × 31,340.40
  4. Step 4: Simplify right side
    39,116.40x = 1,835,839,146.96
  5. Step 5: Solve for x
    x = 1,835,839,146.96/39,116.40
  6. Step 6: Final answer
    x = 46,932.72

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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.