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Finding the Fourth Proportional to 46,285, 69,430.74 and 18,583

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Solution

The fourth proportional to 46,285, 69,430.74 and 18,583 is: 27,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,285 : 69,430.74 = 18,583 : x
  2. Step 2: Convert to fraction form
    46,285/69,430.74 = 18,583/x
  3. Step 3: Cross multiply
    46,285x = 69,430.74 × 18,583
  4. Step 4: Simplify right side
    46,285x = 1,290,231,441.42
  5. Step 5: Solve for x
    x = 1,290,231,441.42/46,285
  6. Step 6: Final answer
    x = 27,875.80

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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.