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Finding the Fourth Proportional to 32,077.98, 48,123 and 12,354.84

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Solution

The fourth proportional to 32,077.98, 48,123 and 12,354.84 is: 18,534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.98 : 48,123 = 12,354.84 : x
  2. Step 2: Convert to fraction form
    32,077.98/48,123 = 12,354.84/x
  3. Step 3: Cross multiply
    32,077.98x = 48,123 × 12,354.84
  4. Step 4: Simplify right side
    32,077.98x = 594,551,965.32
  5. Step 5: Solve for x
    x = 594,551,965.32/32,077.98
  6. Step 6: Final answer
    x = 18,534.58

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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.