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Finding the Fourth Proportional to 84,043.46, 115,977.02 and 45,802.22

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Solution

The fourth proportional to 84,043.46, 115,977.02 and 45,802.22 is: 63,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,043.46 : 115,977.02 = 45,802.22 : x
  2. Step 2: Convert to fraction form
    84,043.46/115,977.02 = 45,802.22/x
  3. Step 3: Cross multiply
    84,043.46x = 115,977.02 × 45,802.22
  4. Step 4: Simplify right side
    84,043.46x = 5,312,005,389.43
  5. Step 5: Solve for x
    x = 5,312,005,389.43/84,043.46
  6. Step 6: Final answer
    x = 63,205.46

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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.