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Finding the Fourth Proportional to 34,103.06, 47,068.76 and 19,199.06

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Solution

The fourth proportional to 34,103.06, 47,068.76 and 19,199.06 is: 26,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,103.06 : 47,068.76 = 19,199.06 : x
  2. Step 2: Convert to fraction form
    34,103.06/47,068.76 = 19,199.06/x
  3. Step 3: Cross multiply
    34,103.06x = 47,068.76 × 19,199.06
  4. Step 4: Simplify right side
    34,103.06x = 903,676,113.04
  5. Step 5: Solve for x
    x = 903,676,113.04/34,103.06
  6. Step 6: Final answer
    x = 26,498.39

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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.