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Finding the Fourth Proportional to 50,346.66, 75,676.89 and 31,746.23

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Solution

The fourth proportional to 50,346.66, 75,676.89 and 31,746.23 is: 47,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,346.66 : 75,676.89 = 31,746.23 : x
  2. Step 2: Convert to fraction form
    50,346.66/75,676.89 = 31,746.23/x
  3. Step 3: Cross multiply
    50,346.66x = 75,676.89 × 31,746.23
  4. Step 4: Simplify right side
    50,346.66x = 2,402,455,577.24
  5. Step 5: Solve for x
    x = 2,402,455,577.24/50,346.66
  6. Step 6: Final answer
    x = 47,718.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.