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Finding the Fourth Proportional to 31,655.36, 47,482.68 and 13,187.36

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Solution

The fourth proportional to 31,655.36, 47,482.68 and 13,187.36 is: 19,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,655.36 : 47,482.68 = 13,187.36 : x
  2. Step 2: Convert to fraction form
    31,655.36/47,482.68 = 13,187.36/x
  3. Step 3: Cross multiply
    31,655.36x = 47,482.68 × 13,187.36
  4. Step 4: Simplify right side
    31,655.36x = 626,171,194.92
  5. Step 5: Solve for x
    x = 626,171,194.92/31,655.36
  6. Step 6: Final answer
    x = 19,780.89

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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.