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Finding the Fourth Proportional to 46,321.61, 63,945.86 and 31,034.48

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Solution

The fourth proportional to 46,321.61, 63,945.86 and 31,034.48 is: 42,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,321.61 : 63,945.86 = 31,034.48 : x
  2. Step 2: Convert to fraction form
    46,321.61/63,945.86 = 31,034.48/x
  3. Step 3: Cross multiply
    46,321.61x = 63,945.86 × 31,034.48
  4. Step 4: Simplify right side
    46,321.61x = 1,984,526,038.35
  5. Step 5: Solve for x
    x = 1,984,526,038.35/46,321.61
  6. Step 6: Final answer
    x = 42,842.34

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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.