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Finding the Fourth Proportional to 30,734.96, 46,028.54 and 17,547.36

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Solution

The fourth proportional to 30,734.96, 46,028.54 and 17,547.36 is: 26,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,734.96 : 46,028.54 = 17,547.36 : x
  2. Step 2: Convert to fraction form
    30,734.96/46,028.54 = 17,547.36/x
  3. Step 3: Cross multiply
    30,734.96x = 46,028.54 × 17,547.36
  4. Step 4: Simplify right side
    30,734.96x = 807,679,361.65
  5. Step 5: Solve for x
    x = 807,679,361.65/30,734.96
  6. Step 6: Final answer
    x = 26,278.85

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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.