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Finding the Fourth Proportional to 46,182, 69,284.52 and 13,350

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Solution

The fourth proportional to 46,182, 69,284.52 and 13,350 is: 20,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,182 : 69,284.52 = 13,350 : x
  2. Step 2: Convert to fraction form
    46,182/69,284.52 = 13,350/x
  3. Step 3: Cross multiply
    46,182x = 69,284.52 × 13,350
  4. Step 4: Simplify right side
    46,182x = 924,948,342
  5. Step 5: Solve for x
    x = 924,948,342/46,182
  6. Step 6: Final answer
    x = 20,028.33

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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.