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Finding the Fourth Proportional to 78,766.84, 118,130.10 and 23,349.88

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Solution

The fourth proportional to 78,766.84, 118,130.10 and 23,349.88 is: 35,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,766.84 : 118,130.10 = 23,349.88 : x
  2. Step 2: Convert to fraction form
    78,766.84/118,130.10 = 23,349.88/x
  3. Step 3: Cross multiply
    78,766.84x = 118,130.10 × 23,349.88
  4. Step 4: Simplify right side
    78,766.84x = 2,758,323,659.39
  5. Step 5: Solve for x
    x = 2,758,323,659.39/78,766.84
  6. Step 6: Final answer
    x = 35,018.84

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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.