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Finding the Fourth Proportional to 32,184, 48,280.32 and 13,720.32

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Solution

The fourth proportional to 32,184, 48,280.32 and 13,720.32 is: 20,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184 : 48,280.32 = 13,720.32 : x
  2. Step 2: Convert to fraction form
    32,184/48,280.32 = 13,720.32/x
  3. Step 3: Cross multiply
    32,184x = 48,280.32 × 13,720.32
  4. Step 4: Simplify right side
    32,184x = 662,421,440.10
  5. Step 5: Solve for x
    x = 662,421,440.10/32,184
  6. Step 6: Final answer
    x = 20,582.32

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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.