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Finding the Fourth Proportional to 46,823.48, 70,235.22 and 11,763.14

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Solution

The fourth proportional to 46,823.48, 70,235.22 and 11,763.14 is: 17,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,823.48 : 70,235.22 = 11,763.14 : x
  2. Step 2: Convert to fraction form
    46,823.48/70,235.22 = 11,763.14/x
  3. Step 3: Cross multiply
    46,823.48x = 70,235.22 × 11,763.14
  4. Step 4: Simplify right side
    46,823.48x = 826,186,725.79
  5. Step 5: Solve for x
    x = 826,186,725.79/46,823.48
  6. Step 6: Final answer
    x = 17,644.71

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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.