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Finding the Fourth Proportional to 78,811.84, 118,217.76 and 52,567.84

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Solution

The fourth proportional to 78,811.84, 118,217.76 and 52,567.84 is: 78,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,811.84 : 118,217.76 = 52,567.84 : x
  2. Step 2: Convert to fraction form
    78,811.84/118,217.76 = 52,567.84/x
  3. Step 3: Cross multiply
    78,811.84x = 118,217.76 × 52,567.84
  4. Step 4: Simplify right side
    78,811.84x = 6,214,452,292.84
  5. Step 5: Solve for x
    x = 6,214,452,292.84/78,811.84
  6. Step 6: Final answer
    x = 78,851.76

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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.