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Finding the Fourth Proportional to 113,553.84, 170,231.76 and 46,952.40

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Solution

The fourth proportional to 113,553.84, 170,231.76 and 46,952.40 is: 70,387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,553.84 : 170,231.76 = 46,952.40 : x
  2. Step 2: Convert to fraction form
    113,553.84/170,231.76 = 46,952.40/x
  3. Step 3: Cross multiply
    113,553.84x = 170,231.76 × 46,952.40
  4. Step 4: Simplify right side
    113,553.84x = 7,992,789,688.22
  5. Step 5: Solve for x
    x = 7,992,789,688.22/113,553.84
  6. Step 6: Final answer
    x = 70,387.67

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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.