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Finding the Fourth Proportional to 31,534.16, 47,307.07 and 9,043.90

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Solution

The fourth proportional to 31,534.16, 47,307.07 and 9,043.90 is: 13,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,534.16 : 47,307.07 = 9,043.90 : x
  2. Step 2: Convert to fraction form
    31,534.16/47,307.07 = 9,043.90/x
  3. Step 3: Cross multiply
    31,534.16x = 47,307.07 × 9,043.90
  4. Step 4: Simplify right side
    31,534.16x = 427,840,173.84
  5. Step 5: Solve for x
    x = 427,840,173.84/31,534.16
  6. Step 6: Final answer
    x = 13,567.51

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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.