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Finding the Fourth Proportional to 31,504.60, 47,261.40 and 9,315.10

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Solution

The fourth proportional to 31,504.60, 47,261.40 and 9,315.10 is: 13,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,504.60 : 47,261.40 = 9,315.10 : x
  2. Step 2: Convert to fraction form
    31,504.60/47,261.40 = 9,315.10/x
  3. Step 3: Cross multiply
    31,504.60x = 47,261.40 × 9,315.10
  4. Step 4: Simplify right side
    31,504.60x = 440,244,667.14
  5. Step 5: Solve for x
    x = 440,244,667.14/31,504.60
  6. Step 6: Final answer
    x = 13,973.98

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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.