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Finding the Fourth Proportional to 49,737.64, 74,619.10 and 18,573.16

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Solution

The fourth proportional to 49,737.64, 74,619.10 and 18,573.16 is: 27,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,737.64 : 74,619.10 = 18,573.16 : x
  2. Step 2: Convert to fraction form
    49,737.64/74,619.10 = 18,573.16/x
  3. Step 3: Cross multiply
    49,737.64x = 74,619.10 × 18,573.16
  4. Step 4: Simplify right side
    49,737.64x = 1,385,912,483.36
  5. Step 5: Solve for x
    x = 1,385,912,483.36/49,737.64
  6. Step 6: Final answer
    x = 27,864.46

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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.