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Finding the Fourth Proportional to 47,380.19, 65,384.26 and 26,159

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Solution

The fourth proportional to 47,380.19, 65,384.26 and 26,159 is: 36,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,380.19 : 65,384.26 = 26,159 : x
  2. Step 2: Convert to fraction form
    47,380.19/65,384.26 = 26,159/x
  3. Step 3: Cross multiply
    47,380.19x = 65,384.26 × 26,159
  4. Step 4: Simplify right side
    47,380.19x = 1,710,386,857.34
  5. Step 5: Solve for x
    x = 1,710,386,857.34/47,380.19
  6. Step 6: Final answer
    x = 36,099.20

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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.