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Finding the Fourth Proportional to 54,677, 75,459.96 and 33,470.40

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Solution

The fourth proportional to 54,677, 75,459.96 and 33,470.40 is: 46,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,677 : 75,459.96 = 33,470.40 : x
  2. Step 2: Convert to fraction form
    54,677/75,459.96 = 33,470.40/x
  3. Step 3: Cross multiply
    54,677x = 75,459.96 × 33,470.40
  4. Step 4: Simplify right side
    54,677x = 2,525,675,045.18
  5. Step 5: Solve for x
    x = 2,525,675,045.18/54,677
  6. Step 6: Final answer
    x = 46,192.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.