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Finding the Fourth Proportional to 106,836, 160,256.16 and 32,964

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Solution

The fourth proportional to 106,836, 160,256.16 and 32,964 is: 49,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,836 : 160,256.16 = 32,964 : x
  2. Step 2: Convert to fraction form
    106,836/160,256.16 = 32,964/x
  3. Step 3: Cross multiply
    106,836x = 160,256.16 × 32,964
  4. Step 4: Simplify right side
    106,836x = 5,282,684,058.24
  5. Step 5: Solve for x
    x = 5,282,684,058.24/106,836
  6. Step 6: Final answer
    x = 49,446.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.