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Finding the Fourth Proportional to 84,098.72, 116,057.52 and 46,373

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Solution

The fourth proportional to 84,098.72, 116,057.52 and 46,373 is: 63,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,098.72 : 116,057.52 = 46,373 : x
  2. Step 2: Convert to fraction form
    84,098.72/116,057.52 = 46,373/x
  3. Step 3: Cross multiply
    84,098.72x = 116,057.52 × 46,373
  4. Step 4: Simplify right side
    84,098.72x = 5,381,935,374.96
  5. Step 5: Solve for x
    x = 5,381,935,374.96/84,098.72
  6. Step 6: Final answer
    x = 63,995.45

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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.