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Finding the Fourth Proportional to 123,802.41, 185,701.50 and 39,561.96

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Solution

The fourth proportional to 123,802.41, 185,701.50 and 39,561.96 is: 59,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,802.41 : 185,701.50 = 39,561.96 : x
  2. Step 2: Convert to fraction form
    123,802.41/185,701.50 = 39,561.96/x
  3. Step 3: Cross multiply
    123,802.41x = 185,701.50 × 39,561.96
  4. Step 4: Simplify right side
    123,802.41x = 7,346,715,314.94
  5. Step 5: Solve for x
    x = 7,346,715,314.94/123,802.41
  6. Step 6: Final answer
    x = 59,342.26

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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.