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Finding the Fourth Proportional to 46,550.71, 69,829.31 and 15,407.83

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Solution

The fourth proportional to 46,550.71, 69,829.31 and 15,407.83 is: 23,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,550.71 : 69,829.31 = 15,407.83 : x
  2. Step 2: Convert to fraction form
    46,550.71/69,829.31 = 15,407.83/x
  3. Step 3: Cross multiply
    46,550.71x = 69,829.31 × 15,407.83
  4. Step 4: Simplify right side
    46,550.71x = 1,075,918,137.50
  5. Step 5: Solve for x
    x = 1,075,918,137.50/46,550.71
  6. Step 6: Final answer
    x = 23,112.82

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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.