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Finding the Fourth Proportional to 46,656.46, 69,970.33 and 13,367.60

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Solution

The fourth proportional to 46,656.46, 69,970.33 and 13,367.60 is: 20,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656.46 : 69,970.33 = 13,367.60 : x
  2. Step 2: Convert to fraction form
    46,656.46/69,970.33 = 13,367.60/x
  3. Step 3: Cross multiply
    46,656.46x = 69,970.33 × 13,367.60
  4. Step 4: Simplify right side
    46,656.46x = 935,335,383.31
  5. Step 5: Solve for x
    x = 935,335,383.31/46,656.46
  6. Step 6: Final answer
    x = 20,047.29

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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.