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Finding the Fourth Proportional to 97,340.34, 145,974.87 and 47,405.46

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Solution

The fourth proportional to 97,340.34, 145,974.87 and 47,405.46 is: 71,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,340.34 : 145,974.87 = 47,405.46 : x
  2. Step 2: Convert to fraction form
    97,340.34/145,974.87 = 47,405.46/x
  3. Step 3: Cross multiply
    97,340.34x = 145,974.87 × 47,405.46
  4. Step 4: Simplify right side
    97,340.34x = 6,920,005,860.79
  5. Step 5: Solve for x
    x = 6,920,005,860.79/97,340.34
  6. Step 6: Final answer
    x = 71,090.83

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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.