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Finding the Fourth Proportional to 82,553.16, 113,921.13 and 46,746.57

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Solution

The fourth proportional to 82,553.16, 113,921.13 and 46,746.57 is: 64,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,553.16 : 113,921.13 = 46,746.57 : x
  2. Step 2: Convert to fraction form
    82,553.16/113,921.13 = 46,746.57/x
  3. Step 3: Cross multiply
    82,553.16x = 113,921.13 × 46,746.57
  4. Step 4: Simplify right side
    82,553.16x = 5,325,422,078.02
  5. Step 5: Solve for x
    x = 5,325,422,078.02/82,553.16
  6. Step 6: Final answer
    x = 64,509.00

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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.