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Finding the Fourth Proportional to 32,492.30, 48,717.59 and 13,530.06

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Solution

The fourth proportional to 32,492.30, 48,717.59 and 13,530.06 is: 20,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,492.30 : 48,717.59 = 13,530.06 : x
  2. Step 2: Convert to fraction form
    32,492.30/48,717.59 = 13,530.06/x
  3. Step 3: Cross multiply
    32,492.30x = 48,717.59 × 13,530.06
  4. Step 4: Simplify right side
    32,492.30x = 659,151,848.11
  5. Step 5: Solve for x
    x = 659,151,848.11/32,492.30
  6. Step 6: Final answer
    x = 20,286.40

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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.