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Finding the Fourth Proportional to 54,693.04, 75,479.16 and 33,466

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Solution

The fourth proportional to 54,693.04, 75,479.16 and 33,466 is: 46,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,693.04 : 75,479.16 = 33,466 : x
  2. Step 2: Convert to fraction form
    54,693.04/75,479.16 = 33,466/x
  3. Step 3: Cross multiply
    54,693.04x = 75,479.16 × 33,466
  4. Step 4: Simplify right side
    54,693.04x = 2,525,985,568.56
  5. Step 5: Solve for x
    x = 2,525,985,568.56/54,693.04
  6. Step 6: Final answer
    x = 46,184.77

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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.