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Finding the Fourth Proportional to 49,573.60, 74,353.20 and 14,509.60

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Solution

The fourth proportional to 49,573.60, 74,353.20 and 14,509.60 is: 21,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,573.60 : 74,353.20 = 14,509.60 : x
  2. Step 2: Convert to fraction form
    49,573.60/74,353.20 = 14,509.60/x
  3. Step 3: Cross multiply
    49,573.60x = 74,353.20 × 14,509.60
  4. Step 4: Simplify right side
    49,573.60x = 1,078,835,190.72
  5. Step 5: Solve for x
    x = 1,078,835,190.72/49,573.60
  6. Step 6: Final answer
    x = 21,762.29

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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.