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Finding the Fourth Proportional to 84,454.16, 116,549.16 and 46,731.92

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Solution

The fourth proportional to 84,454.16, 116,549.16 and 46,731.92 is: 64,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,454.16 : 116,549.16 = 46,731.92 : x
  2. Step 2: Convert to fraction form
    84,454.16/116,549.16 = 46,731.92/x
  3. Step 3: Cross multiply
    84,454.16x = 116,549.16 × 46,731.92
  4. Step 4: Simplify right side
    84,454.16x = 5,446,566,021.19
  5. Step 5: Solve for x
    x = 5,446,566,021.19/84,454.16
  6. Step 6: Final answer
    x = 64,491.39

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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.