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Finding the Fourth Proportional to 76,066.95, 114,100.43 and 34,513.95

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Solution

The fourth proportional to 76,066.95, 114,100.43 and 34,513.95 is: 51,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,066.95 : 114,100.43 = 34,513.95 : x
  2. Step 2: Convert to fraction form
    76,066.95/114,100.43 = 34,513.95/x
  3. Step 3: Cross multiply
    76,066.95x = 114,100.43 × 34,513.95
  4. Step 4: Simplify right side
    76,066.95x = 3,938,056,363.43
  5. Step 5: Solve for x
    x = 3,938,056,363.43/76,066.95
  6. Step 6: Final answer
    x = 51,770.93

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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.