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Finding the Fourth Proportional to 32,400.16, 44,714.28 and 24,428.32

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Solution

The fourth proportional to 32,400.16, 44,714.28 and 24,428.32 is: 33,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400.16 : 44,714.28 = 24,428.32 : x
  2. Step 2: Convert to fraction form
    32,400.16/44,714.28 = 24,428.32/x
  3. Step 3: Cross multiply
    32,400.16x = 44,714.28 × 24,428.32
  4. Step 4: Simplify right side
    32,400.16x = 1,092,294,740.41
  5. Step 5: Solve for x
    x = 1,092,294,740.41/32,400.16
  6. Step 6: Final answer
    x = 33,712.63

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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.