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Finding the Fourth Proportional to 76,548.16, 114,822.08 and 21,144

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Solution

The fourth proportional to 76,548.16, 114,822.08 and 21,144 is: 31,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,548.16 : 114,822.08 = 21,144 : x
  2. Step 2: Convert to fraction form
    76,548.16/114,822.08 = 21,144/x
  3. Step 3: Cross multiply
    76,548.16x = 114,822.08 × 21,144
  4. Step 4: Simplify right side
    76,548.16x = 2,427,798,059.52
  5. Step 5: Solve for x
    x = 2,427,798,059.52/76,548.16
  6. Step 6: Final answer
    x = 31,715.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.