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Finding the Fourth Proportional to 32,947, 45,466.86 and 18,043

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Solution

The fourth proportional to 32,947, 45,466.86 and 18,043 is: 24,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947 : 45,466.86 = 18,043 : x
  2. Step 2: Convert to fraction form
    32,947/45,466.86 = 18,043/x
  3. Step 3: Cross multiply
    32,947x = 45,466.86 × 18,043
  4. Step 4: Simplify right side
    32,947x = 820,358,554.98
  5. Step 5: Solve for x
    x = 820,358,554.98/32,947
  6. Step 6: Final answer
    x = 24,899.34

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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.