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Finding the Fourth Proportional to 47,603.46, 65,695.42 and 26,382.27

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Solution

The fourth proportional to 47,603.46, 65,695.42 and 26,382.27 is: 36,409.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,603.46 : 65,695.42 = 26,382.27 : x
  2. Step 2: Convert to fraction form
    47,603.46/65,695.42 = 26,382.27/x
  3. Step 3: Cross multiply
    47,603.46x = 65,695.42 × 26,382.27
  4. Step 4: Simplify right side
    47,603.46x = 1,733,194,587.54
  5. Step 5: Solve for x
    x = 1,733,194,587.54/47,603.46
  6. Step 6: Final answer
    x = 36,409.00

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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.