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Finding the Fourth Proportional to 47,389.24, 65,373.54 and 28,255.54

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Solution

The fourth proportional to 47,389.24, 65,373.54 and 28,255.54 is: 38,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,389.24 : 65,373.54 = 28,255.54 : x
  2. Step 2: Convert to fraction form
    47,389.24/65,373.54 = 28,255.54/x
  3. Step 3: Cross multiply
    47,389.24x = 65,373.54 × 28,255.54
  4. Step 4: Simplify right side
    47,389.24x = 1,847,164,674.41
  5. Step 5: Solve for x
    x = 1,847,164,674.41/47,389.24
  6. Step 6: Final answer
    x = 38,978.57

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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.