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Finding the Fourth Proportional to 27,308.40, 40,978.51 and 11,512.46

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Solution

The fourth proportional to 27,308.40, 40,978.51 and 11,512.46 is: 17,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,308.40 : 40,978.51 = 11,512.46 : x
  2. Step 2: Convert to fraction form
    27,308.40/40,978.51 = 11,512.46/x
  3. Step 3: Cross multiply
    27,308.40x = 40,978.51 × 11,512.46
  4. Step 4: Simplify right side
    27,308.40x = 471,763,457.23
  5. Step 5: Solve for x
    x = 471,763,457.23/27,308.40
  6. Step 6: Final answer
    x = 17,275.40

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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.