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Finding the Fourth Proportional to 31,506.30, 47,259.45 and 21,008.70

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Solution

The fourth proportional to 31,506.30, 47,259.45 and 21,008.70 is: 31,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506.30 : 47,259.45 = 21,008.70 : x
  2. Step 2: Convert to fraction form
    31,506.30/47,259.45 = 21,008.70/x
  3. Step 3: Cross multiply
    31,506.30x = 47,259.45 × 21,008.70
  4. Step 4: Simplify right side
    31,506.30x = 992,859,607.22
  5. Step 5: Solve for x
    x = 992,859,607.22/31,506.30
  6. Step 6: Final answer
    x = 31,513.05

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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.