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Finding the Fourth Proportional to 60,681.33, 83,742.84 and 33,823.83

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Solution

The fourth proportional to 60,681.33, 83,742.84 and 33,823.83 is: 46,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,681.33 : 83,742.84 = 33,823.83 : x
  2. Step 2: Convert to fraction form
    60,681.33/83,742.84 = 33,823.83/x
  3. Step 3: Cross multiply
    60,681.33x = 83,742.84 × 33,823.83
  4. Step 4: Simplify right side
    60,681.33x = 2,832,503,583.88
  5. Step 5: Solve for x
    x = 2,832,503,583.88/60,681.33
  6. Step 6: Final answer
    x = 46,678.34

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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.