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Finding the Fourth Proportional to 47,696.86, 65,824.65 and 26,476.48

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Solution

The fourth proportional to 47,696.86, 65,824.65 and 26,476.48 is: 36,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,696.86 : 65,824.65 = 26,476.48 : x
  2. Step 2: Convert to fraction form
    47,696.86/65,824.65 = 26,476.48/x
  3. Step 3: Cross multiply
    47,696.86x = 65,824.65 × 26,476.48
  4. Step 4: Simplify right side
    47,696.86x = 1,742,805,029.23
  5. Step 5: Solve for x
    x = 1,742,805,029.23/47,696.86
  6. Step 6: Final answer
    x = 36,539.20

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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.