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Finding the Fourth Proportional to 106,294.48, 159,332.34 and 47,158

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Solution

The fourth proportional to 106,294.48, 159,332.34 and 47,158 is: 70,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,294.48 : 159,332.34 = 47,158 : x
  2. Step 2: Convert to fraction form
    106,294.48/159,332.34 = 47,158/x
  3. Step 3: Cross multiply
    106,294.48x = 159,332.34 × 47,158
  4. Step 4: Simplify right side
    106,294.48x = 7,513,794,489.72
  5. Step 5: Solve for x
    x = 7,513,794,489.72/106,294.48
  6. Step 6: Final answer
    x = 70,688.47

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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.