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Finding the Fourth Proportional to 32,428.02, 48,642.03 and 7,804.02

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Solution

The fourth proportional to 32,428.02, 48,642.03 and 7,804.02 is: 11,706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,428.02 : 48,642.03 = 7,804.02 : x
  2. Step 2: Convert to fraction form
    32,428.02/48,642.03 = 7,804.02/x
  3. Step 3: Cross multiply
    32,428.02x = 48,642.03 × 7,804.02
  4. Step 4: Simplify right side
    32,428.02x = 379,603,374.96
  5. Step 5: Solve for x
    x = 379,603,374.96/32,428.02
  6. Step 6: Final answer
    x = 11,706.03

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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.