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Finding the Fourth Proportional to 114,384.34, 171,574.08 and 31,278.34

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Solution

The fourth proportional to 114,384.34, 171,574.08 and 31,278.34 is: 46,916.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,384.34 : 171,574.08 = 31,278.34 : x
  2. Step 2: Convert to fraction form
    114,384.34/171,574.08 = 31,278.34/x
  3. Step 3: Cross multiply
    114,384.34x = 171,574.08 × 31,278.34
  4. Step 4: Simplify right side
    114,384.34x = 5,366,552,409.43
  5. Step 5: Solve for x
    x = 5,366,552,409.43/114,384.34
  6. Step 6: Final answer
    x = 46,916.85

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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.