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Finding the Fourth Proportional to 99,184.70, 148,786.86 and 32,597.84

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Solution

The fourth proportional to 99,184.70, 148,786.86 and 32,597.84 is: 48,899.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,184.70 : 148,786.86 = 32,597.84 : x
  2. Step 2: Convert to fraction form
    99,184.70/148,786.86 = 32,597.84/x
  3. Step 3: Cross multiply
    99,184.70x = 148,786.86 × 32,597.84
  4. Step 4: Simplify right side
    99,184.70x = 4,850,130,256.38
  5. Step 5: Solve for x
    x = 4,850,130,256.38/99,184.70
  6. Step 6: Final answer
    x = 48,899.98

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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.