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Finding the Fourth Proportional to 47,308.24, 65,283.97 and 26,087.50

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Solution

The fourth proportional to 47,308.24, 65,283.97 and 26,087.50 is: 35,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,308.24 : 65,283.97 = 26,087.50 : x
  2. Step 2: Convert to fraction form
    47,308.24/65,283.97 = 26,087.50/x
  3. Step 3: Cross multiply
    47,308.24x = 65,283.97 × 26,087.50
  4. Step 4: Simplify right side
    47,308.24x = 1,703,095,567.38
  5. Step 5: Solve for x
    x = 1,703,095,567.38/47,308.24
  6. Step 6: Final answer
    x = 35,999.98

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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.