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Finding the Fourth Proportional to 46,642.50, 69,962.04 and 13,362.54

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Solution

The fourth proportional to 46,642.50, 69,962.04 and 13,362.54 is: 20,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,642.50 : 69,962.04 = 13,362.54 : x
  2. Step 2: Convert to fraction form
    46,642.50/69,962.04 = 13,362.54/x
  3. Step 3: Cross multiply
    46,642.50x = 69,962.04 × 13,362.54
  4. Step 4: Simplify right side
    46,642.50x = 934,870,557.98
  5. Step 5: Solve for x
    x = 934,870,557.98/46,642.50
  6. Step 6: Final answer
    x = 20,043.32

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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.