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Finding the Fourth Proportional to 76,361.34, 114,597.51 and 57,664.50

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Solution

The fourth proportional to 76,361.34, 114,597.51 and 57,664.50 is: 86,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,361.34 : 114,597.51 = 57,664.50 : x
  2. Step 2: Convert to fraction form
    76,361.34/114,597.51 = 57,664.50/x
  3. Step 3: Cross multiply
    76,361.34x = 114,597.51 × 57,664.50
  4. Step 4: Simplify right side
    76,361.34x = 6,608,208,115.40
  5. Step 5: Solve for x
    x = 6,608,208,115.40/76,361.34
  6. Step 6: Final answer
    x = 86,538.66

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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.