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Finding the Fourth Proportional to 77,355.40, 116,041.20 and 32,986.84

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Solution

The fourth proportional to 77,355.40, 116,041.20 and 32,986.84 is: 49,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,355.40 : 116,041.20 = 32,986.84 : x
  2. Step 2: Convert to fraction form
    77,355.40/116,041.20 = 32,986.84/x
  3. Step 3: Cross multiply
    77,355.40x = 116,041.20 × 32,986.84
  4. Step 4: Simplify right side
    77,355.40x = 3,827,832,497.81
  5. Step 5: Solve for x
    x = 3,827,832,497.81/77,355.40
  6. Step 6: Final answer
    x = 49,483.71

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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.