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Finding the Fourth Proportional to 31,779.30, 47,669.32 and 9,592.90

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Solution

The fourth proportional to 31,779.30, 47,669.32 and 9,592.90 is: 14,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.30 : 47,669.32 = 9,592.90 : x
  2. Step 2: Convert to fraction form
    31,779.30/47,669.32 = 9,592.90/x
  3. Step 3: Cross multiply
    31,779.30x = 47,669.32 × 9,592.90
  4. Step 4: Simplify right side
    31,779.30x = 457,287,019.83
  5. Step 5: Solve for x
    x = 457,287,019.83/31,779.30
  6. Step 6: Final answer
    x = 14,389.46

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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.