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Finding the Fourth Proportional to 47,659.86, 65,768.76 and 26,438.76

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Solution

The fourth proportional to 47,659.86, 65,768.76 and 26,438.76 is: 36,484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,659.86 : 65,768.76 = 26,438.76 : x
  2. Step 2: Convert to fraction form
    47,659.86/65,768.76 = 26,438.76/x
  3. Step 3: Cross multiply
    47,659.86x = 65,768.76 × 26,438.76
  4. Step 4: Simplify right side
    47,659.86x = 1,738,844,461.14
  5. Step 5: Solve for x
    x = 1,738,844,461.14/47,659.86
  6. Step 6: Final answer
    x = 36,484.46

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1.5x scale

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.