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Finding the Fourth Proportional to 46,287, 69,433.74 and 18,585

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Solution

The fourth proportional to 46,287, 69,433.74 and 18,585 is: 27,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,287 : 69,433.74 = 18,585 : x
  2. Step 2: Convert to fraction form
    46,287/69,433.74 = 18,585/x
  3. Step 3: Cross multiply
    46,287x = 69,433.74 × 18,585
  4. Step 4: Simplify right side
    46,287x = 1,290,426,057.90
  5. Step 5: Solve for x
    x = 1,290,426,057.90/46,287
  6. Step 6: Final answer
    x = 27,878.80

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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.