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Finding the Fourth Proportional to 54,531, 81,796.50 and 17,595

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Solution

The fourth proportional to 54,531, 81,796.50 and 17,595 is: 26,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,531 : 81,796.50 = 17,595 : x
  2. Step 2: Convert to fraction form
    54,531/81,796.50 = 17,595/x
  3. Step 3: Cross multiply
    54,531x = 81,796.50 × 17,595
  4. Step 4: Simplify right side
    54,531x = 1,439,209,417.50
  5. Step 5: Solve for x
    x = 1,439,209,417.50/54,531
  6. Step 6: Final answer
    x = 26,392.50

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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.