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Finding the Fourth Proportional to 31,415.67, 47,130.41 and 10,354.86

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Solution

The fourth proportional to 31,415.67, 47,130.41 and 10,354.86 is: 15,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,415.67 : 47,130.41 = 10,354.86 : x
  2. Step 2: Convert to fraction form
    31,415.67/47,130.41 = 10,354.86/x
  3. Step 3: Cross multiply
    31,415.67x = 47,130.41 × 10,354.86
  4. Step 4: Simplify right side
    31,415.67x = 488,028,823.18
  5. Step 5: Solve for x
    x = 488,028,823.18/31,415.67
  6. Step 6: Final answer
    x = 15,534.57

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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.