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Finding the Fourth Proportional to 34,779.96, 47,995.50 and 19,875

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Solution

The fourth proportional to 34,779.96, 47,995.50 and 19,875 is: 27,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,779.96 : 47,995.50 = 19,875 : x
  2. Step 2: Convert to fraction form
    34,779.96/47,995.50 = 19,875/x
  3. Step 3: Cross multiply
    34,779.96x = 47,995.50 × 19,875
  4. Step 4: Simplify right side
    34,779.96x = 953,910,562.50
  5. Step 5: Solve for x
    x = 953,910,562.50/34,779.96
  6. Step 6: Final answer
    x = 27,427.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.