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Finding the Fourth Proportional to 49,957.60, 74,936.40 and 13,021.60

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Solution

The fourth proportional to 49,957.60, 74,936.40 and 13,021.60 is: 19,532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,957.60 : 74,936.40 = 13,021.60 : x
  2. Step 2: Convert to fraction form
    49,957.60/74,936.40 = 13,021.60/x
  3. Step 3: Cross multiply
    49,957.60x = 74,936.40 × 13,021.60
  4. Step 4: Simplify right side
    49,957.60x = 975,791,826.24
  5. Step 5: Solve for x
    x = 975,791,826.24/49,957.60
  6. Step 6: Final answer
    x = 19,532.40

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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.