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Finding the Fourth Proportional to 32,844, 49,273.80 and 10,657.44

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Solution

The fourth proportional to 32,844, 49,273.80 and 10,657.44 is: 15,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,844 : 49,273.80 = 10,657.44 : x
  2. Step 2: Convert to fraction form
    32,844/49,273.80 = 10,657.44/x
  3. Step 3: Cross multiply
    32,844x = 49,273.80 × 10,657.44
  4. Step 4: Simplify right side
    32,844x = 525,132,567.07
  5. Step 5: Solve for x
    x = 525,132,567.07/32,844
  6. Step 6: Final answer
    x = 15,988.69

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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.