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Finding the Fourth Proportional to 76,541.16, 114,813.90 and 21,137.16

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Solution

The fourth proportional to 76,541.16, 114,813.90 and 21,137.16 is: 31,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,541.16 : 114,813.90 = 21,137.16 : x
  2. Step 2: Convert to fraction form
    76,541.16/114,813.90 = 21,137.16/x
  3. Step 3: Cross multiply
    76,541.16x = 114,813.90 × 21,137.16
  4. Step 4: Simplify right side
    76,541.16x = 2,426,839,774.52
  5. Step 5: Solve for x
    x = 2,426,839,774.52/76,541.16
  6. Step 6: Final answer
    x = 31,706.34

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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.