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Finding the Fourth Proportional to 92,621.34, 127,803.96 and 51,786

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Solution

The fourth proportional to 92,621.34, 127,803.96 and 51,786 is: 71,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,621.34 : 127,803.96 = 51,786 : x
  2. Step 2: Convert to fraction form
    92,621.34/127,803.96 = 51,786/x
  3. Step 3: Cross multiply
    92,621.34x = 127,803.96 × 51,786
  4. Step 4: Simplify right side
    92,621.34x = 6,618,455,872.56
  5. Step 5: Solve for x
    x = 6,618,455,872.56/92,621.34
  6. Step 6: Final answer
    x = 71,457.14

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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.