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Finding the Fourth Proportional to 32,534.64, 48,802.68 and 16,942.32

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Solution

The fourth proportional to 32,534.64, 48,802.68 and 16,942.32 is: 25,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,534.64 : 48,802.68 = 16,942.32 : x
  2. Step 2: Convert to fraction form
    32,534.64/48,802.68 = 16,942.32/x
  3. Step 3: Cross multiply
    32,534.64x = 48,802.68 × 16,942.32
  4. Step 4: Simplify right side
    32,534.64x = 826,830,621.42
  5. Step 5: Solve for x
    x = 826,830,621.42/32,534.64
  6. Step 6: Final answer
    x = 25,413.85

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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.