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Finding the Fourth Proportional to 47,308, 65,285.49 and 26,087.98

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Solution

The fourth proportional to 47,308, 65,285.49 and 26,087.98 is: 36,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,308 : 65,285.49 = 26,087.98 : x
  2. Step 2: Convert to fraction form
    47,308/65,285.49 = 26,087.98/x
  3. Step 3: Cross multiply
    47,308x = 65,285.49 × 26,087.98
  4. Step 4: Simplify right side
    47,308x = 1,703,166,557.41
  5. Step 5: Solve for x
    x = 1,703,166,557.41/47,308
  6. Step 6: Final answer
    x = 36,001.66

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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.