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Finding the Fourth Proportional to 97,141.58, 145,720.56 and 27,020.88

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Solution

The fourth proportional to 97,141.58, 145,720.56 and 27,020.88 is: 40,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,141.58 : 145,720.56 = 27,020.88 : x
  2. Step 2: Convert to fraction form
    97,141.58/145,720.56 = 27,020.88/x
  3. Step 3: Cross multiply
    97,141.58x = 145,720.56 × 27,020.88
  4. Step 4: Simplify right side
    97,141.58x = 3,937,497,765.29
  5. Step 5: Solve for x
    x = 3,937,497,765.29/97,141.58
  6. Step 6: Final answer
    x = 40,533.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.