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Finding the Fourth Proportional to 32,873, 49,299.06 and 10,681.24

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Solution

The fourth proportional to 32,873, 49,299.06 and 10,681.24 is: 16,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,873 : 49,299.06 = 10,681.24 : x
  2. Step 2: Convert to fraction form
    32,873/49,299.06 = 10,681.24/x
  3. Step 3: Cross multiply
    32,873x = 49,299.06 × 10,681.24
  4. Step 4: Simplify right side
    32,873x = 526,575,091.63
  5. Step 5: Solve for x
    x = 526,575,091.63/32,873
  6. Step 6: Final answer
    x = 16,018.47

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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.