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Finding the Fourth Proportional to 32,328.60, 48,492.81 and 10,142.07

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Solution

The fourth proportional to 32,328.60, 48,492.81 and 10,142.07 is: 15,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,328.60 : 48,492.81 = 10,142.07 : x
  2. Step 2: Convert to fraction form
    32,328.60/48,492.81 = 10,142.07/x
  3. Step 3: Cross multiply
    32,328.60x = 48,492.81 × 10,142.07
  4. Step 4: Simplify right side
    32,328.60x = 491,817,473.52
  5. Step 5: Solve for x
    x = 491,817,473.52/32,328.60
  6. Step 6: Final answer
    x = 15,213.08

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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.