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Finding the Fourth Proportional to 32,858, 49,276.56 and 10,666.24

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Solution

The fourth proportional to 32,858, 49,276.56 and 10,666.24 is: 15,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,858 : 49,276.56 = 10,666.24 : x
  2. Step 2: Convert to fraction form
    32,858/49,276.56 = 10,666.24/x
  3. Step 3: Cross multiply
    32,858x = 49,276.56 × 10,666.24
  4. Step 4: Simplify right side
    32,858x = 525,595,615.33
  5. Step 5: Solve for x
    x = 525,595,615.33/32,858
  6. Step 6: Final answer
    x = 15,995.97

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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.