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Finding the Fourth Proportional to 10,032, 15,048.80 and 3,106.48

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Solution

The fourth proportional to 10,032, 15,048.80 and 3,106.48 is: 4,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032 : 15,048.80 = 3,106.48 : x
  2. Step 2: Convert to fraction form
    10,032/15,048.80 = 3,106.48/x
  3. Step 3: Cross multiply
    10,032x = 15,048.80 × 3,106.48
  4. Step 4: Simplify right side
    10,032x = 46,748,796.22
  5. Step 5: Solve for x
    x = 46,748,796.22/10,032
  6. Step 6: Final answer
    x = 4,659.97

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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.