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Finding the Fourth Proportional to 47,114.16, 65,021.40 and 28,250.88

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Solution

The fourth proportional to 47,114.16, 65,021.40 and 28,250.88 is: 38,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,114.16 : 65,021.40 = 28,250.88 : x
  2. Step 2: Convert to fraction form
    47,114.16/65,021.40 = 28,250.88/x
  3. Step 3: Cross multiply
    47,114.16x = 65,021.40 × 28,250.88
  4. Step 4: Simplify right side
    47,114.16x = 1,836,911,768.83
  5. Step 5: Solve for x
    x = 1,836,911,768.83/47,114.16
  6. Step 6: Final answer
    x = 38,988.53

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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.