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Finding the Fourth Proportional to 65,090.84, 89,810.86 and 42,427.80

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Solution

The fourth proportional to 65,090.84, 89,810.86 and 42,427.80 is: 58,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,090.84 : 89,810.86 = 42,427.80 : x
  2. Step 2: Convert to fraction form
    65,090.84/89,810.86 = 42,427.80/x
  3. Step 3: Cross multiply
    65,090.84x = 89,810.86 × 42,427.80
  4. Step 4: Simplify right side
    65,090.84x = 3,810,477,205.91
  5. Step 5: Solve for x
    x = 3,810,477,205.91/65,090.84
  6. Step 6: Final answer
    x = 58,540.91

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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.