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Finding the Fourth Proportional to 32,701.50, 49,074.02 and 11,925

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Solution

The fourth proportional to 32,701.50, 49,074.02 and 11,925 is: 17,895.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,701.50 : 49,074.02 = 11,925 : x
  2. Step 2: Convert to fraction form
    32,701.50/49,074.02 = 11,925/x
  3. Step 3: Cross multiply
    32,701.50x = 49,074.02 × 11,925
  4. Step 4: Simplify right side
    32,701.50x = 585,207,688.50
  5. Step 5: Solve for x
    x = 585,207,688.50/32,701.50
  6. Step 6: Final answer
    x = 17,895.44

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Why These Related Problems?

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