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Finding the Fourth Proportional to 47,465.70, 71,068.85 and 34,152.00

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Solution

The fourth proportional to 47,465.70, 71,068.85 and 34,152.00 is: 51,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,465.70 : 71,068.85 = 34,152.00 : x
  2. Step 2: Convert to fraction form
    47,465.70/71,068.85 = 34,152.00/x
  3. Step 3: Cross multiply
    47,465.70x = 71,068.85 × 34,152.00
  4. Step 4: Simplify right side
    47,465.70x = 2,427,143,056.00
  5. Step 5: Solve for x
    x = 2,427,143,056.00/47,465.70
  6. Step 6: Final answer
    x = 51,134.68

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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.