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Finding the Fourth Proportional to 78,764.73, 118,154.45 and 31,368.39

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Solution

The fourth proportional to 78,764.73, 118,154.45 and 31,368.39 is: 47,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,764.73 : 118,154.45 = 31,368.39 : x
  2. Step 2: Convert to fraction form
    78,764.73/118,154.45 = 31,368.39/x
  3. Step 3: Cross multiply
    78,764.73x = 118,154.45 × 31,368.39
  4. Step 4: Simplify right side
    78,764.73x = 3,706,314,867.84
  5. Step 5: Solve for x
    x = 3,706,314,867.84/78,764.73
  6. Step 6: Final answer
    x = 47,055.51

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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.