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Finding the Fourth Proportional to 49,386.48, 68,175.84 and 31,506

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Solution

The fourth proportional to 49,386.48, 68,175.84 and 31,506 is: 43,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,386.48 : 68,175.84 = 31,506 : x
  2. Step 2: Convert to fraction form
    49,386.48/68,175.84 = 31,506/x
  3. Step 3: Cross multiply
    49,386.48x = 68,175.84 × 31,506
  4. Step 4: Simplify right side
    49,386.48x = 2,147,948,015.04
  5. Step 5: Solve for x
    x = 2,147,948,015.04/49,386.48
  6. Step 6: Final answer
    x = 43,492.63

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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.