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Finding the Fourth Proportional to 83,018.10, 114,564.42 and 47,208.06

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Solution

The fourth proportional to 83,018.10, 114,564.42 and 47,208.06 is: 65,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,018.10 : 114,564.42 = 47,208.06 : x
  2. Step 2: Convert to fraction form
    83,018.10/114,564.42 = 47,208.06/x
  3. Step 3: Cross multiply
    83,018.10x = 114,564.42 × 47,208.06
  4. Step 4: Simplify right side
    83,018.10x = 5,408,364,013.23
  5. Step 5: Solve for x
    x = 5,408,364,013.23/83,018.10
  6. Step 6: Final answer
    x = 65,146.81

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