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Finding the Fourth Proportional to 32,400.41, 44,714.63 and 24,428.57

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Solution

The fourth proportional to 32,400.41, 44,714.63 and 24,428.57 is: 33,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400.41 : 44,714.63 = 24,428.57 : x
  2. Step 2: Convert to fraction form
    32,400.41/44,714.63 = 24,428.57/x
  3. Step 3: Cross multiply
    32,400.41x = 44,714.63 × 24,428.57
  4. Step 4: Simplify right side
    32,400.41x = 1,092,314,346.84
  5. Step 5: Solve for x
    x = 1,092,314,346.84/32,400.41
  6. Step 6: Final answer
    x = 33,712.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.