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Finding the Fourth Proportional to 31,605.09, 47,407.62 and 9,417.90

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Solution

The fourth proportional to 31,605.09, 47,407.62 and 9,417.90 is: 14,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,605.09 : 47,407.62 = 9,417.90 : x
  2. Step 2: Convert to fraction form
    31,605.09/47,407.62 = 9,417.90/x
  3. Step 3: Cross multiply
    31,605.09x = 47,407.62 × 9,417.90
  4. Step 4: Simplify right side
    31,605.09x = 446,480,224.40
  5. Step 5: Solve for x
    x = 446,480,224.40/31,605.09
  6. Step 6: Final answer
    x = 14,126.85

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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.