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Finding the Fourth Proportional to 97,096.38, 133,995.54 and 54,656.46

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Solution

The fourth proportional to 97,096.38, 133,995.54 and 54,656.46 is: 75,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,096.38 : 133,995.54 = 54,656.46 : x
  2. Step 2: Convert to fraction form
    97,096.38/133,995.54 = 54,656.46/x
  3. Step 3: Cross multiply
    97,096.38x = 133,995.54 × 54,656.46
  4. Step 4: Simplify right side
    97,096.38x = 7,323,721,872.19
  5. Step 5: Solve for x
    x = 7,323,721,872.19/97,096.38
  6. Step 6: Final answer
    x = 75,427.34

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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.