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Finding the Fourth Proportional to 69,893.38, 96,340.71 and 47,225.08

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Solution

The fourth proportional to 69,893.38, 96,340.71 and 47,225.08 is: 65,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,893.38 : 96,340.71 = 47,225.08 : x
  2. Step 2: Convert to fraction form
    69,893.38/96,340.71 = 47,225.08/x
  3. Step 3: Cross multiply
    69,893.38x = 96,340.71 × 47,225.08
  4. Step 4: Simplify right side
    69,893.38x = 4,549,697,737.01
  5. Step 5: Solve for x
    x = 4,549,697,737.01/69,893.38
  6. Step 6: Final answer
    x = 65,094.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.