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Finding the Fourth Proportional to 31,779.84, 47,669.28 and 11,003.52

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Solution

The fourth proportional to 31,779.84, 47,669.28 and 11,003.52 is: 16,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.84 : 47,669.28 = 11,003.52 : x
  2. Step 2: Convert to fraction form
    31,779.84/47,669.28 = 11,003.52/x
  3. Step 3: Cross multiply
    31,779.84x = 47,669.28 × 11,003.52
  4. Step 4: Simplify right side
    31,779.84x = 524,529,875.87
  5. Step 5: Solve for x
    x = 524,529,875.87/31,779.84
  6. Step 6: Final answer
    x = 16,505.11

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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.