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Finding the Fourth Proportional to 47,681.52, 65,800.80 and 26,460.96

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Solution

The fourth proportional to 47,681.52, 65,800.80 and 26,460.96 is: 36,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,681.52 : 65,800.80 = 26,460.96 : x
  2. Step 2: Convert to fraction form
    47,681.52/65,800.80 = 26,460.96/x
  3. Step 3: Cross multiply
    47,681.52x = 65,800.80 × 26,460.96
  4. Step 4: Simplify right side
    47,681.52x = 1,741,152,336.77
  5. Step 5: Solve for x
    x = 1,741,152,336.77/47,681.52
  6. Step 6: Final answer
    x = 36,516.29

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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.