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Finding the Fourth Proportional to 96,796.32, 133,574.16 and 54,356.64

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Solution

The fourth proportional to 96,796.32, 133,574.16 and 54,356.64 is: 75,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,796.32 : 133,574.16 = 54,356.64 : x
  2. Step 2: Convert to fraction form
    96,796.32/133,574.16 = 54,356.64/x
  3. Step 3: Cross multiply
    96,796.32x = 133,574.16 × 54,356.64
  4. Step 4: Simplify right side
    96,796.32x = 7,260,642,528.42
  5. Step 5: Solve for x
    x = 7,260,642,528.42/96,796.32
  6. Step 6: Final answer
    x = 75,009.49

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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.