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Finding the Fourth Proportional to 47,186.94, 70,792.67 and 17,605

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Solution

The fourth proportional to 47,186.94, 70,792.67 and 17,605 is: 26,412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,186.94 : 70,792.67 = 17,605 : x
  2. Step 2: Convert to fraction form
    47,186.94/70,792.67 = 17,605/x
  3. Step 3: Cross multiply
    47,186.94x = 70,792.67 × 17,605
  4. Step 4: Simplify right side
    47,186.94x = 1,246,304,955.35
  5. Step 5: Solve for x
    x = 1,246,304,955.35/47,186.94
  6. Step 6: Final answer
    x = 26,412.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.