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Finding the Fourth Proportional to 77,353.40, 116,038.20 and 32,984.84

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Solution

The fourth proportional to 77,353.40, 116,038.20 and 32,984.84 is: 49,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,353.40 : 116,038.20 = 32,984.84 : x
  2. Step 2: Convert to fraction form
    77,353.40/116,038.20 = 32,984.84/x
  3. Step 3: Cross multiply
    77,353.40x = 116,038.20 × 32,984.84
  4. Step 4: Simplify right side
    77,353.40x = 3,827,500,880.70
  5. Step 5: Solve for x
    x = 3,827,500,880.70/77,353.40
  6. Step 6: Final answer
    x = 49,480.71

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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.