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Finding the Fourth Proportional to 109,846.01, 164,654.86 and 46,706.65

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Solution

The fourth proportional to 109,846.01, 164,654.86 and 46,706.65 is: 70,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,846.01 : 164,654.86 = 46,706.65 : x
  2. Step 2: Convert to fraction form
    109,846.01/164,654.86 = 46,706.65/x
  3. Step 3: Cross multiply
    109,846.01x = 164,654.86 × 46,706.65
  4. Step 4: Simplify right side
    109,846.01x = 7,690,476,916.82
  5. Step 5: Solve for x
    x = 7,690,476,916.82/109,846.01
  6. Step 6: Final answer
    x = 70,011.44

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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.