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Finding the Fourth Proportional to 47,737.65, 65,893.38 and 34,347.81

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Solution

The fourth proportional to 47,737.65, 65,893.38 and 34,347.81 is: 47,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,737.65 : 65,893.38 = 34,347.81 : x
  2. Step 2: Convert to fraction form
    47,737.65/65,893.38 = 34,347.81/x
  3. Step 3: Cross multiply
    47,737.65x = 65,893.38 × 34,347.81
  4. Step 4: Simplify right side
    47,737.65x = 2,263,293,296.50
  5. Step 5: Solve for x
    x = 2,263,293,296.50/47,737.65
  6. Step 6: Final answer
    x = 47,411.07

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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.