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Finding the Fourth Proportional to 50,402.34, 69,555.15 and 31,275

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Solution

The fourth proportional to 50,402.34, 69,555.15 and 31,275 is: 43,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,402.34 : 69,555.15 = 31,275 : x
  2. Step 2: Convert to fraction form
    50,402.34/69,555.15 = 31,275/x
  3. Step 3: Cross multiply
    50,402.34x = 69,555.15 × 31,275
  4. Step 4: Simplify right side
    50,402.34x = 2,175,337,316.25
  5. Step 5: Solve for x
    x = 2,175,337,316.25/50,402.34
  6. Step 6: Final answer
    x = 43,159.45

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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.