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Finding the Fourth Proportional to 55,382.30, 76,428.38 and 31,508.46

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Solution

The fourth proportional to 55,382.30, 76,428.38 and 31,508.46 is: 43,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,382.30 : 76,428.38 = 31,508.46 : x
  2. Step 2: Convert to fraction form
    55,382.30/76,428.38 = 31,508.46/x
  3. Step 3: Cross multiply
    55,382.30x = 76,428.38 × 31,508.46
  4. Step 4: Simplify right side
    55,382.30x = 2,408,140,554.09
  5. Step 5: Solve for x
    x = 2,408,140,554.09/55,382.30
  6. Step 6: Final answer
    x = 43,482.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.