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Finding the Fourth Proportional to 46,509.65, 69,762.90 and 20,214.39

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Solution

The fourth proportional to 46,509.65, 69,762.90 and 20,214.39 is: 30,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,509.65 : 69,762.90 = 20,214.39 : x
  2. Step 2: Convert to fraction form
    46,509.65/69,762.90 = 20,214.39/x
  3. Step 3: Cross multiply
    46,509.65x = 69,762.90 × 20,214.39
  4. Step 4: Simplify right side
    46,509.65x = 1,410,214,468.13
  5. Step 5: Solve for x
    x = 1,410,214,468.13/46,509.65
  6. Step 6: Final answer
    x = 30,320.90

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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.