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Finding the Fourth Proportional to 137,564.01, 206,346.32 and 37,725.63

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Solution

The fourth proportional to 137,564.01, 206,346.32 and 37,725.63 is: 56,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,564.01 : 206,346.32 = 37,725.63 : x
  2. Step 2: Convert to fraction form
    137,564.01/206,346.32 = 37,725.63/x
  3. Step 3: Cross multiply
    137,564.01x = 206,346.32 × 37,725.63
  4. Step 4: Simplify right side
    137,564.01x = 7,784,544,731.55
  5. Step 5: Solve for x
    x = 7,784,544,731.55/137,564.01
  6. Step 6: Final answer
    x = 56,588.53

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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.