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Finding the Fourth Proportional to 70,896.54, 97,836.18 and 40,681.20

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Solution

The fourth proportional to 70,896.54, 97,836.18 and 40,681.20 is: 56,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,896.54 : 97,836.18 = 40,681.20 : x
  2. Step 2: Convert to fraction form
    70,896.54/97,836.18 = 40,681.20/x
  3. Step 3: Cross multiply
    70,896.54x = 97,836.18 × 40,681.20
  4. Step 4: Simplify right side
    70,896.54x = 3,980,093,205.82
  5. Step 5: Solve for x
    x = 3,980,093,205.82/70,896.54
  6. Step 6: Final answer
    x = 56,139.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.