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Finding the Fourth Proportional to 47,442.60, 71,163.90 and 46,751.40

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Solution

The fourth proportional to 47,442.60, 71,163.90 and 46,751.40 is: 70,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,442.60 : 71,163.90 = 46,751.40 : x
  2. Step 2: Convert to fraction form
    47,442.60/71,163.90 = 46,751.40/x
  3. Step 3: Cross multiply
    47,442.60x = 71,163.90 × 46,751.40
  4. Step 4: Simplify right side
    47,442.60x = 3,327,011,954.46
  5. Step 5: Solve for x
    x = 3,327,011,954.46/47,442.60
  6. Step 6: Final answer
    x = 70,127.10

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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.