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Finding the Fourth Proportional to 46,681.82, 69,924.26 and 31,698.14

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Solution

The fourth proportional to 46,681.82, 69,924.26 and 31,698.14 is: 47,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,681.82 : 69,924.26 = 31,698.14 : x
  2. Step 2: Convert to fraction form
    46,681.82/69,924.26 = 31,698.14/x
  3. Step 3: Cross multiply
    46,681.82x = 69,924.26 × 31,698.14
  4. Step 4: Simplify right side
    46,681.82x = 2,216,468,712.50
  5. Step 5: Solve for x
    x = 2,216,468,712.50/46,681.82
  6. Step 6: Final answer
    x = 47,480.34

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