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Finding the Fourth Proportional to 47,314.94, 65,295.03 and 26,094.94

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Solution

The fourth proportional to 47,314.94, 65,295.03 and 26,094.94 is: 36,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,314.94 : 65,295.03 = 26,094.94 : x
  2. Step 2: Convert to fraction form
    47,314.94/65,295.03 = 26,094.94/x
  3. Step 3: Cross multiply
    47,314.94x = 65,295.03 × 26,094.94
  4. Step 4: Simplify right side
    47,314.94x = 1,703,869,890.15
  5. Step 5: Solve for x
    x = 1,703,869,890.15/47,314.94
  6. Step 6: Final answer
    x = 36,011.24

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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.