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Finding the Fourth Proportional to 32,249, 48,354.70 and 12,504.49

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Solution

The fourth proportional to 32,249, 48,354.70 and 12,504.49 is: 18,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,249 : 48,354.70 = 12,504.49 : x
  2. Step 2: Convert to fraction form
    32,249/48,354.70 = 12,504.49/x
  3. Step 3: Cross multiply
    32,249x = 48,354.70 × 12,504.49
  4. Step 4: Simplify right side
    32,249x = 604,650,862.60
  5. Step 5: Solve for x
    x = 604,650,862.60/32,249
  6. Step 6: Final answer
    x = 18,749.45

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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.