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Finding the Fourth Proportional to 47,771.28, 65,895.12 and 30,798

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Solution

The fourth proportional to 47,771.28, 65,895.12 and 30,798 is: 42,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,771.28 : 65,895.12 = 30,798 : x
  2. Step 2: Convert to fraction form
    47,771.28/65,895.12 = 30,798/x
  3. Step 3: Cross multiply
    47,771.28x = 65,895.12 × 30,798
  4. Step 4: Simplify right side
    47,771.28x = 2,029,437,905.76
  5. Step 5: Solve for x
    x = 2,029,437,905.76/47,771.28
  6. Step 6: Final answer
    x = 42,482.38

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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.