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Finding the Fourth Proportional to 31,606.47, 47,410.11 and 9,420.57

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Solution

The fourth proportional to 31,606.47, 47,410.11 and 9,420.57 is: 14,130.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,606.47 : 47,410.11 = 9,420.57 : x
  2. Step 2: Convert to fraction form
    31,606.47/47,410.11 = 9,420.57/x
  3. Step 3: Cross multiply
    31,606.47x = 47,410.11 × 9,420.57
  4. Step 4: Simplify right side
    31,606.47x = 446,630,259.96
  5. Step 5: Solve for x
    x = 446,630,259.96/31,606.47
  6. Step 6: Final answer
    x = 14,130.98

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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.