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Finding the Fourth Proportional to 54,705.84, 82,051.46 and 15,259.64

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Solution

The fourth proportional to 54,705.84, 82,051.46 and 15,259.64 is: 22,887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,705.84 : 82,051.46 = 15,259.64 : x
  2. Step 2: Convert to fraction form
    54,705.84/82,051.46 = 15,259.64/x
  3. Step 3: Cross multiply
    54,705.84x = 82,051.46 × 15,259.64
  4. Step 4: Simplify right side
    54,705.84x = 1,252,075,741.07
  5. Step 5: Solve for x
    x = 1,252,075,741.07/54,705.84
  6. Step 6: Final answer
    x = 22,887.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.