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Finding the Fourth Proportional to 47,384.73, 65,390.49 and 26,164.22

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Solution

The fourth proportional to 47,384.73, 65,390.49 and 26,164.22 is: 36,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,384.73 : 65,390.49 = 26,164.22 : x
  2. Step 2: Convert to fraction form
    47,384.73/65,390.49 = 26,164.22/x
  3. Step 3: Cross multiply
    47,384.73x = 65,390.49 × 26,164.22
  4. Step 4: Simplify right side
    47,384.73x = 1,710,890,839.32
  5. Step 5: Solve for x
    x = 1,710,890,839.32/47,384.73
  6. Step 6: Final answer
    x = 36,106.38

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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.