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Finding the Fourth Proportional to 96,038, 132,533.64 and 55,753.46

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Solution

The fourth proportional to 96,038, 132,533.64 and 55,753.46 is: 76,940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,038 : 132,533.64 = 55,753.46 : x
  2. Step 2: Convert to fraction form
    96,038/132,533.64 = 55,753.46/x
  3. Step 3: Cross multiply
    96,038x = 132,533.64 × 55,753.46
  4. Step 4: Simplify right side
    96,038x = 7,389,208,996.39
  5. Step 5: Solve for x
    x = 7,389,208,996.39/96,038
  6. Step 6: Final answer
    x = 76,940.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.