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Finding the Fourth Proportional to 32,492.96, 48,744.09 and 10,005.54

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Solution

The fourth proportional to 32,492.96, 48,744.09 and 10,005.54 is: 15,009.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,492.96 : 48,744.09 = 10,005.54 : x
  2. Step 2: Convert to fraction form
    32,492.96/48,744.09 = 10,005.54/x
  3. Step 3: Cross multiply
    32,492.96x = 48,744.09 × 10,005.54
  4. Step 4: Simplify right side
    32,492.96x = 487,710,892.23
  5. Step 5: Solve for x
    x = 487,710,892.23/32,492.96
  6. Step 6: Final answer
    x = 15,009.74

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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.