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Finding the Fourth Proportional to 56,734.12, 78,290.04 and 31,582

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Solution

The fourth proportional to 56,734.12, 78,290.04 and 31,582 is: 43,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,734.12 : 78,290.04 = 31,582 : x
  2. Step 2: Convert to fraction form
    56,734.12/78,290.04 = 31,582/x
  3. Step 3: Cross multiply
    56,734.12x = 78,290.04 × 31,582
  4. Step 4: Simplify right side
    56,734.12x = 2,472,556,043.28
  5. Step 5: Solve for x
    x = 2,472,556,043.28/56,734.12
  6. Step 6: Final answer
    x = 43,581.46

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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.