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Finding the Fourth Proportional to 117,685, 176,527.50 and 30,133

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Solution

The fourth proportional to 117,685, 176,527.50 and 30,133 is: 45,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,685 : 176,527.50 = 30,133 : x
  2. Step 2: Convert to fraction form
    117,685/176,527.50 = 30,133/x
  3. Step 3: Cross multiply
    117,685x = 176,527.50 × 30,133
  4. Step 4: Simplify right side
    117,685x = 5,319,303,157.50
  5. Step 5: Solve for x
    x = 5,319,303,157.50/117,685
  6. Step 6: Final answer
    x = 45,199.50

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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.