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Finding the Fourth Proportional to 31,482.40, 47,190.30 and 10,417

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Solution

The fourth proportional to 31,482.40, 47,190.30 and 10,417 is: 15,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482.40 : 47,190.30 = 10,417 : x
  2. Step 2: Convert to fraction form
    31,482.40/47,190.30 = 10,417/x
  3. Step 3: Cross multiply
    31,482.40x = 47,190.30 × 10,417
  4. Step 4: Simplify right side
    31,482.40x = 491,581,355.10
  5. Step 5: Solve for x
    x = 491,581,355.10/31,482.40
  6. Step 6: Final answer
    x = 15,614.48

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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.