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Finding the Fourth Proportional to 31,608.15, 47,411.73 and 9,421.62

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Solution

The fourth proportional to 31,608.15, 47,411.73 and 9,421.62 is: 14,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,608.15 : 47,411.73 = 9,421.62 : x
  2. Step 2: Convert to fraction form
    31,608.15/47,411.73 = 9,421.62/x
  3. Step 3: Cross multiply
    31,608.15x = 47,411.73 × 9,421.62
  4. Step 4: Simplify right side
    31,608.15x = 446,695,303.60
  5. Step 5: Solve for x
    x = 446,695,303.60/31,608.15
  6. Step 6: Final answer
    x = 14,132.28

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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.