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Finding the Fourth Proportional to 31,902.23, 47,860.26 and 9,715.02

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Solution

The fourth proportional to 31,902.23, 47,860.26 and 9,715.02 is: 14,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902.23 : 47,860.26 = 9,715.02 : x
  2. Step 2: Convert to fraction form
    31,902.23/47,860.26 = 9,715.02/x
  3. Step 3: Cross multiply
    31,902.23x = 47,860.26 × 9,715.02
  4. Step 4: Simplify right side
    31,902.23x = 464,963,383.11
  5. Step 5: Solve for x
    x = 464,963,383.11/31,902.23
  6. Step 6: Final answer
    x = 14,574.64

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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.