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Finding the Fourth Proportional to 116,421.81, 174,627.84 and 33,315.81

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Solution

The fourth proportional to 116,421.81, 174,627.84 and 33,315.81 is: 49,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,421.81 : 174,627.84 = 33,315.81 : x
  2. Step 2: Convert to fraction form
    116,421.81/174,627.84 = 33,315.81/x
  3. Step 3: Cross multiply
    116,421.81x = 174,627.84 × 33,315.81
  4. Step 4: Simplify right side
    116,421.81x = 5,817,867,938.15
  5. Step 5: Solve for x
    x = 5,817,867,938.15/116,421.81
  6. Step 6: Final answer
    x = 49,972.32

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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.