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Finding the Fourth Proportional to 84,058.32, 116,000.46 and 46,333.20

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Solution

The fourth proportional to 84,058.32, 116,000.46 and 46,333.20 is: 63,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,058.32 : 116,000.46 = 46,333.20 : x
  2. Step 2: Convert to fraction form
    84,058.32/116,000.46 = 46,333.20/x
  3. Step 3: Cross multiply
    84,058.32x = 116,000.46 × 46,333.20
  4. Step 4: Simplify right side
    84,058.32x = 5,374,672,513.27
  5. Step 5: Solve for x
    x = 5,374,672,513.27/84,058.32
  6. Step 6: Final answer
    x = 63,939.80

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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.