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Finding the Fourth Proportional to 106,018.49, 159,047.43 and 34,946.11

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Solution

The fourth proportional to 106,018.49, 159,047.43 and 34,946.11 is: 52,425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,018.49 : 159,047.43 = 34,946.11 : x
  2. Step 2: Convert to fraction form
    106,018.49/159,047.43 = 34,946.11/x
  3. Step 3: Cross multiply
    106,018.49x = 159,047.43 × 34,946.11
  4. Step 4: Simplify right side
    106,018.49x = 5,558,088,809.27
  5. Step 5: Solve for x
    x = 5,558,088,809.27/106,018.49
  6. Step 6: Final answer
    x = 52,425.66

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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.