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Finding the Fourth Proportional to 32,502.63, 48,753.94 and 7,878.63

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Solution

The fourth proportional to 32,502.63, 48,753.94 and 7,878.63 is: 11,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,502.63 : 48,753.94 = 7,878.63 : x
  2. Step 2: Convert to fraction form
    32,502.63/48,753.94 = 7,878.63/x
  3. Step 3: Cross multiply
    32,502.63x = 48,753.94 × 7,878.63
  4. Step 4: Simplify right side
    32,502.63x = 384,114,254.30
  5. Step 5: Solve for x
    x = 384,114,254.30/32,502.63
  6. Step 6: Final answer
    x = 11,817.94

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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.