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Finding the Fourth Proportional to 117,600, 176,402.88 and 30,048

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Solution

The fourth proportional to 117,600, 176,402.88 and 30,048 is: 45,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,600 : 176,402.88 = 30,048 : x
  2. Step 2: Convert to fraction form
    117,600/176,402.88 = 30,048/x
  3. Step 3: Cross multiply
    117,600x = 176,402.88 × 30,048
  4. Step 4: Simplify right side
    117,600x = 5,300,553,738.24
  5. Step 5: Solve for x
    x = 5,300,553,738.24/117,600
  6. Step 6: Final answer
    x = 45,072.74

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