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Finding the Fourth Proportional to 92,083.23, 127,038.88 and 51,787.76

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Solution

The fourth proportional to 92,083.23, 127,038.88 and 51,787.76 is: 71,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,083.23 : 127,038.88 = 51,787.76 : x
  2. Step 2: Convert to fraction form
    92,083.23/127,038.88 = 51,787.76/x
  3. Step 3: Cross multiply
    92,083.23x = 127,038.88 × 51,787.76
  4. Step 4: Simplify right side
    92,083.23x = 6,579,058,457.65
  5. Step 5: Solve for x
    x = 6,579,058,457.65/92,083.23
  6. Step 6: Final answer
    x = 71,446.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.