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Finding the Fourth Proportional to 99,296.70, 148,905.45 and 32,718.30

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Solution

The fourth proportional to 99,296.70, 148,905.45 and 32,718.30 is: 49,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,296.70 : 148,905.45 = 32,718.30 : x
  2. Step 2: Convert to fraction form
    99,296.70/148,905.45 = 32,718.30/x
  3. Step 3: Cross multiply
    99,296.70x = 148,905.45 × 32,718.30
  4. Step 4: Simplify right side
    99,296.70x = 4,871,933,184.74
  5. Step 5: Solve for x
    x = 4,871,933,184.74/99,296.70
  6. Step 6: Final answer
    x = 49,064.40

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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.