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Finding the Fourth Proportional to 32,895.68, 49,350 and 9,522.32

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Solution

The fourth proportional to 32,895.68, 49,350 and 9,522.32 is: 14,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,895.68 : 49,350 = 9,522.32 : x
  2. Step 2: Convert to fraction form
    32,895.68/49,350 = 9,522.32/x
  3. Step 3: Cross multiply
    32,895.68x = 49,350 × 9,522.32
  4. Step 4: Simplify right side
    32,895.68x = 469,926,492
  5. Step 5: Solve for x
    x = 469,926,492/32,895.68
  6. Step 6: Final answer
    x = 14,285.36

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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.