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Finding the Fourth Proportional to 47,325.44, 65,316.84 and 28,206.20

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Solution

The fourth proportional to 47,325.44, 65,316.84 and 28,206.20 is: 38,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,325.44 : 65,316.84 = 28,206.20 : x
  2. Step 2: Convert to fraction form
    47,325.44/65,316.84 = 28,206.20/x
  3. Step 3: Cross multiply
    47,325.44x = 65,316.84 × 28,206.20
  4. Step 4: Simplify right side
    47,325.44x = 1,842,339,852.41
  5. Step 5: Solve for x
    x = 1,842,339,852.41/47,325.44
  6. Step 6: Final answer
    x = 38,929.16

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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.