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Finding the Fourth Proportional to 65,141.30, 97,681.88 and 27,681.41

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Solution

The fourth proportional to 65,141.30, 97,681.88 and 27,681.41 is: 41,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,141.30 : 97,681.88 = 27,681.41 : x
  2. Step 2: Convert to fraction form
    65,141.30/97,681.88 = 27,681.41/x
  3. Step 3: Cross multiply
    65,141.30x = 97,681.88 × 27,681.41
  4. Step 4: Simplify right side
    65,141.30x = 2,703,971,543.03
  5. Step 5: Solve for x
    x = 2,703,971,543.03/65,141.30
  6. Step 6: Final answer
    x = 41,509.33

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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.