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Finding the Fourth Proportional to 84,114.72, 116,058.36 and 47,813.31

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Solution

The fourth proportional to 84,114.72, 116,058.36 and 47,813.31 is: 65,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,114.72 : 116,058.36 = 47,813.31 : x
  2. Step 2: Convert to fraction form
    84,114.72/116,058.36 = 47,813.31/x
  3. Step 3: Cross multiply
    84,114.72x = 116,058.36 × 47,813.31
  4. Step 4: Simplify right side
    84,114.72x = 5,549,134,344.77
  5. Step 5: Solve for x
    x = 5,549,134,344.77/84,114.72
  6. Step 6: Final answer
    x = 65,971.03

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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.