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Finding the Fourth Proportional to 98,717.94, 148,076.80 and 32,157.97

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Solution

The fourth proportional to 98,717.94, 148,076.80 and 32,157.97 is: 48,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,717.94 : 148,076.80 = 32,157.97 : x
  2. Step 2: Convert to fraction form
    98,717.94/148,076.80 = 32,157.97/x
  3. Step 3: Cross multiply
    98,717.94x = 148,076.80 × 32,157.97
  4. Step 4: Simplify right side
    98,717.94x = 4,761,848,551.71
  5. Step 5: Solve for x
    x = 4,761,848,551.71/98,717.94
  6. Step 6: Final answer
    x = 48,236.91

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1.5x scale

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.