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Finding the Fourth Proportional to 97,096.32, 133,795.80 and 74,435.76

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Solution

The fourth proportional to 97,096.32, 133,795.80 and 74,435.76 is: 102,570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,096.32 : 133,795.80 = 74,435.76 : x
  2. Step 2: Convert to fraction form
    97,096.32/133,795.80 = 74,435.76/x
  3. Step 3: Cross multiply
    97,096.32x = 133,795.80 × 74,435.76
  4. Step 4: Simplify right side
    97,096.32x = 9,959,192,057.81
  5. Step 5: Solve for x
    x = 9,959,192,057.81/97,096.32
  6. Step 6: Final answer
    x = 102,570.23

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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.