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Finding the Fourth Proportional to 32,409, 44,706.29 and 18,977.67

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Solution

The fourth proportional to 32,409, 44,706.29 and 18,977.67 is: 26,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409 : 44,706.29 = 18,977.67 : x
  2. Step 2: Convert to fraction form
    32,409/44,706.29 = 18,977.67/x
  3. Step 3: Cross multiply
    32,409x = 44,706.29 × 18,977.67
  4. Step 4: Simplify right side
    32,409x = 848,421,123.66
  5. Step 5: Solve for x
    x = 848,421,123.66/32,409
  6. Step 6: Final answer
    x = 26,178.57

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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.