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Finding the Fourth Proportional to 31,878.60, 47,776.04 and 13,148.31

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Solution

The fourth proportional to 31,878.60, 47,776.04 and 13,148.31 is: 19,705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.60 : 47,776.04 = 13,148.31 : x
  2. Step 2: Convert to fraction form
    31,878.60/47,776.04 = 13,148.31/x
  3. Step 3: Cross multiply
    31,878.60x = 47,776.04 × 13,148.31
  4. Step 4: Simplify right side
    31,878.60x = 628,174,298.52
  5. Step 5: Solve for x
    x = 628,174,298.52/31,878.60
  6. Step 6: Final answer
    x = 19,705.20

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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.