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Finding the Fourth Proportional to 82,507.38, 123,779.06 and 46,985.48

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Solution

The fourth proportional to 82,507.38, 123,779.06 and 46,985.48 is: 70,488.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507.38 : 123,779.06 = 46,985.48 : x
  2. Step 2: Convert to fraction form
    82,507.38/123,779.06 = 46,985.48/x
  3. Step 3: Cross multiply
    82,507.38x = 123,779.06 × 46,985.48
  4. Step 4: Simplify right side
    82,507.38x = 5,815,818,548.05
  5. Step 5: Solve for x
    x = 5,815,818,548.05/82,507.38
  6. Step 6: Final answer
    x = 70,488.46

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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.