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Finding the Fourth Proportional to 32,492.48, 48,730.08 and 9,120.32

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Solution

The fourth proportional to 32,492.48, 48,730.08 and 9,120.32 is: 13,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,492.48 : 48,730.08 = 9,120.32 : x
  2. Step 2: Convert to fraction form
    32,492.48/48,730.08 = 9,120.32/x
  3. Step 3: Cross multiply
    32,492.48x = 48,730.08 × 9,120.32
  4. Step 4: Simplify right side
    32,492.48x = 444,433,923.23
  5. Step 5: Solve for x
    x = 444,433,923.23/32,492.48
  6. Step 6: Final answer
    x = 13,678.05

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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.