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Finding the Fourth Proportional to 34,834.68, 48,071.34 and 19,521

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Solution

The fourth proportional to 34,834.68, 48,071.34 and 19,521 is: 26,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,834.68 : 48,071.34 = 19,521 : x
  2. Step 2: Convert to fraction form
    34,834.68/48,071.34 = 19,521/x
  3. Step 3: Cross multiply
    34,834.68x = 48,071.34 × 19,521
  4. Step 4: Simplify right side
    34,834.68x = 938,400,628.14
  5. Step 5: Solve for x
    x = 938,400,628.14/34,834.68
  6. Step 6: Final answer
    x = 26,938.69

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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.