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Finding the Fourth Proportional to 32,153.35, 48,222.46 and 8,774.23

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Solution

The fourth proportional to 32,153.35, 48,222.46 and 8,774.23 is: 13,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,153.35 : 48,222.46 = 8,774.23 : x
  2. Step 2: Convert to fraction form
    32,153.35/48,222.46 = 8,774.23/x
  3. Step 3: Cross multiply
    32,153.35x = 48,222.46 × 8,774.23
  4. Step 4: Simplify right side
    32,153.35x = 423,114,955.21
  5. Step 5: Solve for x
    x = 423,114,955.21/32,153.35
  6. Step 6: Final answer
    x = 13,159.28

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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.