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Finding the Fourth Proportional to 30,851.20, 46,284.08 and 13,321.20

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Solution

The fourth proportional to 30,851.20, 46,284.08 and 13,321.20 is: 19,984.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.20 : 46,284.08 = 13,321.20 : x
  2. Step 2: Convert to fraction form
    30,851.20/46,284.08 = 13,321.20/x
  3. Step 3: Cross multiply
    30,851.20x = 46,284.08 × 13,321.20
  4. Step 4: Simplify right side
    30,851.20x = 616,559,486.50
  5. Step 5: Solve for x
    x = 616,559,486.50/30,851.20
  6. Step 6: Final answer
    x = 19,984.94

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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.