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Finding the Fourth Proportional to 31,779.92, 47,635.32 and 13,290.32

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Solution

The fourth proportional to 31,779.92, 47,635.32 and 13,290.32 is: 19,921.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.92 : 47,635.32 = 13,290.32 : x
  2. Step 2: Convert to fraction form
    31,779.92/47,635.32 = 13,290.32/x
  3. Step 3: Cross multiply
    31,779.92x = 47,635.32 × 13,290.32
  4. Step 4: Simplify right side
    31,779.92x = 633,088,646.10
  5. Step 5: Solve for x
    x = 633,088,646.10/31,779.92
  6. Step 6: Final answer
    x = 19,921.03

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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.