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Finding the Fourth Proportional to 51,224.90, 70,678.32 and 31,081.31

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Solution

The fourth proportional to 51,224.90, 70,678.32 and 31,081.31 is: 42,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,224.90 : 70,678.32 = 31,081.31 : x
  2. Step 2: Convert to fraction form
    51,224.90/70,678.32 = 31,081.31/x
  3. Step 3: Cross multiply
    51,224.90x = 70,678.32 × 31,081.31
  4. Step 4: Simplify right side
    51,224.90x = 2,196,774,420.81
  5. Step 5: Solve for x
    x = 2,196,774,420.81/51,224.90
  6. Step 6: Final answer
    x = 42,884.90

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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.