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Finding the Fourth Proportional to 34,937.84, 48,214.10 and 19,022.29

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Solution

The fourth proportional to 34,937.84, 48,214.10 and 19,022.29 is: 26,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,937.84 : 48,214.10 = 19,022.29 : x
  2. Step 2: Convert to fraction form
    34,937.84/48,214.10 = 19,022.29/x
  3. Step 3: Cross multiply
    34,937.84x = 48,214.10 × 19,022.29
  4. Step 4: Simplify right side
    34,937.84x = 917,142,519.31
  5. Step 5: Solve for x
    x = 917,142,519.31/34,937.84
  6. Step 6: Final answer
    x = 26,250.69

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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.