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Finding the Fourth Proportional to 82,779.68, 114,232.56 and 46,968.93

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Solution

The fourth proportional to 82,779.68, 114,232.56 and 46,968.93 is: 64,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,779.68 : 114,232.56 = 46,968.93 : x
  2. Step 2: Convert to fraction form
    82,779.68/114,232.56 = 46,968.93/x
  3. Step 3: Cross multiply
    82,779.68x = 114,232.56 × 46,968.93
  4. Step 4: Simplify right side
    82,779.68x = 5,365,381,114.36
  5. Step 5: Solve for x
    x = 5,365,381,114.36/82,779.68
  6. Step 6: Final answer
    x = 64,815.20

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Why These Related Problems?

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