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Finding the Fourth Proportional to 34,466.58, 51,698.52 and 9,842.58

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Solution

The fourth proportional to 34,466.58, 51,698.52 and 9,842.58 is: 14,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,466.58 : 51,698.52 = 9,842.58 : x
  2. Step 2: Convert to fraction form
    34,466.58/51,698.52 = 9,842.58/x
  3. Step 3: Cross multiply
    34,466.58x = 51,698.52 × 9,842.58
  4. Step 4: Simplify right side
    34,466.58x = 508,846,818.98
  5. Step 5: Solve for x
    x = 508,846,818.98/34,466.58
  6. Step 6: Final answer
    x = 14,763.48

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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.