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Finding the Fourth Proportional to 47,670, 65,784.56 and 26,159.87

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Solution

The fourth proportional to 47,670, 65,784.56 and 26,159.87 is: 36,100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,670 : 65,784.56 = 26,159.87 : x
  2. Step 2: Convert to fraction form
    47,670/65,784.56 = 26,159.87/x
  3. Step 3: Cross multiply
    47,670x = 65,784.56 × 26,159.87
  4. Step 4: Simplify right side
    47,670x = 1,720,915,077.89
  5. Step 5: Solve for x
    x = 1,720,915,077.89/47,670
  6. Step 6: Final answer
    x = 36,100.59

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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.