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Finding the Fourth Proportional to 117,748.84, 176,623.25 and 34,642.84

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Solution

The fourth proportional to 117,748.84, 176,623.25 and 34,642.84 is: 51,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,748.84 : 176,623.25 = 34,642.84 : x
  2. Step 2: Convert to fraction form
    117,748.84/176,623.25 = 34,642.84/x
  3. Step 3: Cross multiply
    117,748.84x = 176,623.25 × 34,642.84
  4. Step 4: Simplify right side
    117,748.84x = 6,118,730,990.03
  5. Step 5: Solve for x
    x = 6,118,730,990.03/117,748.84
  6. Step 6: Final answer
    x = 51,964.26

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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.