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Finding the Fourth Proportional to 117,099.81, 175,674.01 and 46,984.59

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Solution

The fourth proportional to 117,099.81, 175,674.01 and 46,984.59 is: 70,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,099.81 : 175,674.01 = 46,984.59 : x
  2. Step 2: Convert to fraction form
    117,099.81/175,674.01 = 46,984.59/x
  3. Step 3: Cross multiply
    117,099.81x = 175,674.01 × 46,984.59
  4. Step 4: Simplify right side
    117,099.81x = 8,253,971,333.51
  5. Step 5: Solve for x
    x = 8,253,971,333.51/117,099.81
  6. Step 6: Final answer
    x = 70,486.63

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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.