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Finding the Fourth Proportional to 82,779.68, 114,223.25 and 46,483.01

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Solution

The fourth proportional to 82,779.68, 114,223.25 and 46,483.01 is: 64,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,779.68 : 114,223.25 = 46,483.01 : x
  2. Step 2: Convert to fraction form
    82,779.68/114,223.25 = 46,483.01/x
  3. Step 3: Cross multiply
    82,779.68x = 114,223.25 × 46,483.01
  4. Step 4: Simplify right side
    82,779.68x = 5,309,440,471.98
  5. Step 5: Solve for x
    x = 5,309,440,471.98/82,779.68
  6. Step 6: Final answer
    x = 64,139.42

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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.