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Finding the Fourth Proportional to 31,864.03, 47,796.03 and 9,677.32

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Solution

The fourth proportional to 31,864.03, 47,796.03 and 9,677.32 is: 14,515.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,864.03 : 47,796.03 = 9,677.32 : x
  2. Step 2: Convert to fraction form
    31,864.03/47,796.03 = 9,677.32/x
  3. Step 3: Cross multiply
    31,864.03x = 47,796.03 × 9,677.32
  4. Step 4: Simplify right side
    31,864.03x = 462,537,477.04
  5. Step 5: Solve for x
    x = 462,537,477.04/31,864.03
  6. Step 6: Final answer
    x = 14,515.98

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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.