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Finding the Fourth Proportional to 102,463.08, 153,712.44 and 31,384.08

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Solution

The fourth proportional to 102,463.08, 153,712.44 and 31,384.08 is: 47,081.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,463.08 : 153,712.44 = 31,384.08 : x
  2. Step 2: Convert to fraction form
    102,463.08/153,712.44 = 31,384.08/x
  3. Step 3: Cross multiply
    102,463.08x = 153,712.44 × 31,384.08
  4. Step 4: Simplify right side
    102,463.08x = 4,824,123,513.96
  5. Step 5: Solve for x
    x = 4,824,123,513.96/102,463.08
  6. Step 6: Final answer
    x = 47,081.58

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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.