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Finding the Fourth Proportional to 92,018.70, 138,154.42 and 47,676.06

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Solution

The fourth proportional to 92,018.70, 138,154.42 and 47,676.06 is: 71,579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,018.70 : 138,154.42 = 47,676.06 : x
  2. Step 2: Convert to fraction form
    92,018.70/138,154.42 = 47,676.06/x
  3. Step 3: Cross multiply
    92,018.70x = 138,154.42 × 47,676.06
  4. Step 4: Simplify right side
    92,018.70x = 6,586,658,417.19
  5. Step 5: Solve for x
    x = 6,586,658,417.19/92,018.70
  6. Step 6: Final answer
    x = 71,579.56

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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.