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Finding the Fourth Proportional to 30,405.78, 41,988.96 and 28,749.15

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Solution

The fourth proportional to 30,405.78, 41,988.96 and 28,749.15 is: 39,701.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,405.78 : 41,988.96 = 28,749.15 : x
  2. Step 2: Convert to fraction form
    30,405.78/41,988.96 = 28,749.15/x
  3. Step 3: Cross multiply
    30,405.78x = 41,988.96 × 28,749.15
  4. Step 4: Simplify right side
    30,405.78x = 1,207,146,909.38
  5. Step 5: Solve for x
    x = 1,207,146,909.38/30,405.78
  6. Step 6: Final answer
    x = 39,701.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.