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Finding the Fourth Proportional to 30,117.84, 45,160.36 and 23,917.68

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Solution

The fourth proportional to 30,117.84, 45,160.36 and 23,917.68 is: 35,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,117.84 : 45,160.36 = 23,917.68 : x
  2. Step 2: Convert to fraction form
    30,117.84/45,160.36 = 23,917.68/x
  3. Step 3: Cross multiply
    30,117.84x = 45,160.36 × 23,917.68
  4. Step 4: Simplify right side
    30,117.84x = 1,080,131,039.16
  5. Step 5: Solve for x
    x = 1,080,131,039.16/30,117.84
  6. Step 6: Final answer
    x = 35,863.50

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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.