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Finding the Fourth Proportional to 29,834.95, 44,750.06 and 17,347

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Solution

The fourth proportional to 29,834.95, 44,750.06 and 17,347 is: 26,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.95 : 44,750.06 = 17,347 : x
  2. Step 2: Convert to fraction form
    29,834.95/44,750.06 = 17,347/x
  3. Step 3: Cross multiply
    29,834.95x = 44,750.06 × 17,347
  4. Step 4: Simplify right side
    29,834.95x = 776,279,290.82
  5. Step 5: Solve for x
    x = 776,279,290.82/29,834.95
  6. Step 6: Final answer
    x = 26,019.12

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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.