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Finding the Fourth Proportional to 34,547.64, 51,813.48 and 16,777.60

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Solution

The fourth proportional to 34,547.64, 51,813.48 and 16,777.60 is: 25,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,547.64 : 51,813.48 = 16,777.60 : x
  2. Step 2: Convert to fraction form
    34,547.64/51,813.48 = 16,777.60/x
  3. Step 3: Cross multiply
    34,547.64x = 51,813.48 × 16,777.60
  4. Step 4: Simplify right side
    34,547.64x = 869,305,842.05
  5. Step 5: Solve for x
    x = 869,305,842.05/34,547.64
  6. Step 6: Final answer
    x = 25,162.52

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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.