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Finding the Fourth Proportional to 46,457.30, 69,664.65 and 14,861.21

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Solution

The fourth proportional to 46,457.30, 69,664.65 and 14,861.21 is: 22,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,457.30 : 69,664.65 = 14,861.21 : x
  2. Step 2: Convert to fraction form
    46,457.30/69,664.65 = 14,861.21/x
  3. Step 3: Cross multiply
    46,457.30x = 69,664.65 × 14,861.21
  4. Step 4: Simplify right side
    46,457.30x = 1,035,300,993.23
  5. Step 5: Solve for x
    x = 1,035,300,993.23/46,457.30
  6. Step 6: Final answer
    x = 22,285.00

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Why These Related Problems?

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