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Finding the Fourth Proportional to 46,409.60, 69,614.40 and 16,828.40

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Solution

The fourth proportional to 46,409.60, 69,614.40 and 16,828.40 is: 25,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,409.60 : 69,614.40 = 16,828.40 : x
  2. Step 2: Convert to fraction form
    46,409.60/69,614.40 = 16,828.40/x
  3. Step 3: Cross multiply
    46,409.60x = 69,614.40 × 16,828.40
  4. Step 4: Simplify right side
    46,409.60x = 1,171,498,968.96
  5. Step 5: Solve for x
    x = 1,171,498,968.96/46,409.60
  6. Step 6: Final answer
    x = 25,242.60

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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.