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Finding the Fourth Proportional to 71,065.40, 106,598.10 and 41,516.60

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Solution

The fourth proportional to 71,065.40, 106,598.10 and 41,516.60 is: 62,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,065.40 : 106,598.10 = 41,516.60 : x
  2. Step 2: Convert to fraction form
    71,065.40/106,598.10 = 41,516.60/x
  3. Step 3: Cross multiply
    71,065.40x = 106,598.10 × 41,516.60
  4. Step 4: Simplify right side
    71,065.40x = 4,425,590,678.46
  5. Step 5: Solve for x
    x = 4,425,590,678.46/71,065.40
  6. Step 6: Final answer
    x = 62,274.90

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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.