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Finding the Fourth Proportional to 34,804, 48,029.58 and 19,900

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Solution

The fourth proportional to 34,804, 48,029.58 and 19,900 is: 27,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,804 : 48,029.58 = 19,900 : x
  2. Step 2: Convert to fraction form
    34,804/48,029.58 = 19,900/x
  3. Step 3: Cross multiply
    34,804x = 48,029.58 × 19,900
  4. Step 4: Simplify right side
    34,804x = 955,788,642
  5. Step 5: Solve for x
    x = 955,788,642/34,804
  6. Step 6: Final answer
    x = 27,462.03

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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.