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Finding the Fourth Proportional to 32,684.16, 45,049.32 and 25,024.80

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Solution

The fourth proportional to 32,684.16, 45,049.32 and 25,024.80 is: 34,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,684.16 : 45,049.32 = 25,024.80 : x
  2. Step 2: Convert to fraction form
    32,684.16/45,049.32 = 25,024.80/x
  3. Step 3: Cross multiply
    32,684.16x = 45,049.32 × 25,024.80
  4. Step 4: Simplify right side
    32,684.16x = 1,127,350,223.14
  5. Step 5: Solve for x
    x = 1,127,350,223.14/32,684.16
  6. Step 6: Final answer
    x = 34,492.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.