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Finding the Fourth Proportional to 51,878.90, 71,595.56 and 31,729.46

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Solution

The fourth proportional to 51,878.90, 71,595.56 and 31,729.46 is: 43,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,878.90 : 71,595.56 = 31,729.46 : x
  2. Step 2: Convert to fraction form
    51,878.90/71,595.56 = 31,729.46/x
  3. Step 3: Cross multiply
    51,878.90x = 71,595.56 × 31,729.46
  4. Step 4: Simplify right side
    51,878.90x = 2,271,688,457.20
  5. Step 5: Solve for x
    x = 2,271,688,457.20/51,878.90
  6. Step 6: Final answer
    x = 43,788.29

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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.