Home / 102,546.14-153,823.76-31,463.57

Finding the Fourth Proportional to 102,546.14, 153,823.76 and 31,463.57

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Solution

The fourth proportional to 102,546.14, 153,823.76 and 31,463.57 is: 47,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,546.14 : 153,823.76 = 31,463.57 : x
  2. Step 2: Convert to fraction form
    102,546.14/153,823.76 = 31,463.57/x
  3. Step 3: Cross multiply
    102,546.14x = 153,823.76 × 31,463.57
  4. Step 4: Simplify right side
    102,546.14x = 4,839,844,985.65
  5. Step 5: Solve for x
    x = 4,839,844,985.65/102,546.14
  6. Step 6: Final answer
    x = 47,196.76

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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.