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Finding the Fourth Proportional to 34,051.84, 51,070.56 and 16,272.40

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Solution

The fourth proportional to 34,051.84, 51,070.56 and 16,272.40 is: 24,405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,051.84 : 51,070.56 = 16,272.40 : x
  2. Step 2: Convert to fraction form
    34,051.84/51,070.56 = 16,272.40/x
  3. Step 3: Cross multiply
    34,051.84x = 51,070.56 × 16,272.40
  4. Step 4: Simplify right side
    34,051.84x = 831,040,580.54
  5. Step 5: Solve for x
    x = 831,040,580.54/34,051.84
  6. Step 6: Final answer
    x = 24,405.16

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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.