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Finding the Fourth Proportional to 32,388, 48,582 and 9,015.05

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Solution

The fourth proportional to 32,388, 48,582 and 9,015.05 is: 13,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,388 : 48,582 = 9,015.05 : x
  2. Step 2: Convert to fraction form
    32,388/48,582 = 9,015.05/x
  3. Step 3: Cross multiply
    32,388x = 48,582 × 9,015.05
  4. Step 4: Simplify right side
    32,388x = 437,968,916.19
  5. Step 5: Solve for x
    x = 437,968,916.19/32,388
  6. Step 6: Final answer
    x = 13,522.57

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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.