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Finding the Fourth Proportional to 47,444, 65,470.18 and 26,222

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Solution

The fourth proportional to 47,444, 65,470.18 and 26,222 is: 36,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,444 : 65,470.18 = 26,222 : x
  2. Step 2: Convert to fraction form
    47,444/65,470.18 = 26,222/x
  3. Step 3: Cross multiply
    47,444x = 65,470.18 × 26,222
  4. Step 4: Simplify right side
    47,444x = 1,716,759,059.96
  5. Step 5: Solve for x
    x = 1,716,759,059.96/47,444
  6. Step 6: Final answer
    x = 36,184.96

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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.