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Finding the Fourth Proportional to 117,005.68, 175,534.94 and 37,048.49

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Solution

The fourth proportional to 117,005.68, 175,534.94 and 37,048.49 is: 55,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,005.68 : 175,534.94 = 37,048.49 : x
  2. Step 2: Convert to fraction form
    117,005.68/175,534.94 = 37,048.49/x
  3. Step 3: Cross multiply
    117,005.68x = 175,534.94 × 37,048.49
  4. Step 4: Simplify right side
    117,005.68x = 6,503,304,722.84
  5. Step 5: Solve for x
    x = 6,503,304,722.84/117,005.68
  6. Step 6: Final answer
    x = 55,581.10

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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.