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Finding the Fourth Proportional to 136,032, 204,059.76 and 37,536

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Solution

The fourth proportional to 136,032, 204,059.76 and 37,536 is: 56,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,032 : 204,059.76 = 37,536 : x
  2. Step 2: Convert to fraction form
    136,032/204,059.76 = 37,536/x
  3. Step 3: Cross multiply
    136,032x = 204,059.76 × 37,536
  4. Step 4: Simplify right side
    136,032x = 7,659,587,151.36
  5. Step 5: Solve for x
    x = 7,659,587,151.36/136,032
  6. Step 6: Final answer
    x = 56,307.24

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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.