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Finding the Fourth Proportional to 41,706.51, 57,555 and 22,586.28

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Solution

The fourth proportional to 41,706.51, 57,555 and 22,586.28 is: 31,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,706.51 : 57,555 = 22,586.28 : x
  2. Step 2: Convert to fraction form
    41,706.51/57,555 = 22,586.28/x
  3. Step 3: Cross multiply
    41,706.51x = 57,555 × 22,586.28
  4. Step 4: Simplify right side
    41,706.51x = 1,299,953,345.40
  5. Step 5: Solve for x
    x = 1,299,953,345.40/41,706.51
  6. Step 6: Final answer
    x = 31,169.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.