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Finding the Fourth Proportional to 39,575, 59,362.50 and 11,873

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Solution

The fourth proportional to 39,575, 59,362.50 and 11,873 is: 17,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,575 : 59,362.50 = 11,873 : x
  2. Step 2: Convert to fraction form
    39,575/59,362.50 = 11,873/x
  3. Step 3: Cross multiply
    39,575x = 59,362.50 × 11,873
  4. Step 4: Simplify right side
    39,575x = 704,810,962.50
  5. Step 5: Solve for x
    x = 704,810,962.50/39,575
  6. Step 6: Final answer
    x = 17,809.50

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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.