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Finding the Fourth Proportional to 47,385.84, 65,392.74 and 26,166

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Solution

The fourth proportional to 47,385.84, 65,392.74 and 26,166 is: 36,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,385.84 : 65,392.74 = 26,166 : x
  2. Step 2: Convert to fraction form
    47,385.84/65,392.74 = 26,166/x
  3. Step 3: Cross multiply
    47,385.84x = 65,392.74 × 26,166
  4. Step 4: Simplify right side
    47,385.84x = 1,711,066,434.84
  5. Step 5: Solve for x
    x = 1,711,066,434.84/47,385.84
  6. Step 6: Final answer
    x = 36,109.24

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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.