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Finding the Fourth Proportional to 47,384.19, 65,389.33 and 26,163

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Solution

The fourth proportional to 47,384.19, 65,389.33 and 26,163 is: 36,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,384.19 : 65,389.33 = 26,163 : x
  2. Step 2: Convert to fraction form
    47,384.19/65,389.33 = 26,163/x
  3. Step 3: Cross multiply
    47,384.19x = 65,389.33 × 26,163
  4. Step 4: Simplify right side
    47,384.19x = 1,710,780,926.33
  5. Step 5: Solve for x
    x = 1,710,780,926.33/47,384.19
  6. Step 6: Final answer
    x = 36,104.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.