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Finding the Fourth Proportional to 96,840, 145,265.49 and 34,510.50

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Solution

The fourth proportional to 96,840, 145,265.49 and 34,510.50 is: 51,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,840 : 145,265.49 = 34,510.50 : x
  2. Step 2: Convert to fraction form
    96,840/145,265.49 = 34,510.50/x
  3. Step 3: Cross multiply
    96,840x = 145,265.49 × 34,510.50
  4. Step 4: Simplify right side
    96,840x = 5,013,184,692.65
  5. Step 5: Solve for x
    x = 5,013,184,692.65/96,840
  6. Step 6: Final answer
    x = 51,767.71

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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.