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Finding the Fourth Proportional to 46,575, 69,862.50 and 18,873

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Solution

The fourth proportional to 46,575, 69,862.50 and 18,873 is: 28,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,575 : 69,862.50 = 18,873 : x
  2. Step 2: Convert to fraction form
    46,575/69,862.50 = 18,873/x
  3. Step 3: Cross multiply
    46,575x = 69,862.50 × 18,873
  4. Step 4: Simplify right side
    46,575x = 1,318,514,962.50
  5. Step 5: Solve for x
    x = 1,318,514,962.50/46,575
  6. Step 6: Final answer
    x = 28,309.50

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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.