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Finding the Fourth Proportional to 31,241.86, 46,852.98 and 10,460.50

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Solution

The fourth proportional to 31,241.86, 46,852.98 and 10,460.50 is: 15,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,241.86 : 46,852.98 = 10,460.50 : x
  2. Step 2: Convert to fraction form
    31,241.86/46,852.98 = 10,460.50/x
  3. Step 3: Cross multiply
    31,241.86x = 46,852.98 × 10,460.50
  4. Step 4: Simplify right side
    31,241.86x = 490,105,597.29
  5. Step 5: Solve for x
    x = 490,105,597.29/31,241.86
  6. Step 6: Final answer
    x = 15,687.47

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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.