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Finding the Fourth Proportional to 30,175.70, 41,623.54 and 19,434.49

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Solution

The fourth proportional to 30,175.70, 41,623.54 and 19,434.49 is: 26,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.70 : 41,623.54 = 19,434.49 : x
  2. Step 2: Convert to fraction form
    30,175.70/41,623.54 = 19,434.49/x
  3. Step 3: Cross multiply
    30,175.70x = 41,623.54 × 19,434.49
  4. Step 4: Simplify right side
    30,175.70x = 808,932,271.89
  5. Step 5: Solve for x
    x = 808,932,271.89/30,175.70
  6. Step 6: Final answer
    x = 26,807.41

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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.