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Finding the Fourth Proportional to 47,385.19, 65,390.71 and 26,164

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Solution

The fourth proportional to 47,385.19, 65,390.71 and 26,164 is: 36,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,385.19 : 65,390.71 = 26,164 : x
  2. Step 2: Convert to fraction form
    47,385.19/65,390.71 = 26,164/x
  3. Step 3: Cross multiply
    47,385.19x = 65,390.71 × 26,164
  4. Step 4: Simplify right side
    47,385.19x = 1,710,882,536.44
  5. Step 5: Solve for x
    x = 1,710,882,536.44/47,385.19
  6. Step 6: Final answer
    x = 36,105.85

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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.