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Finding the Fourth Proportional to 102,347.17, 153,544.13 and 31,279.92

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Solution

The fourth proportional to 102,347.17, 153,544.13 and 31,279.92 is: 46,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,347.17 : 153,544.13 = 31,279.92 : x
  2. Step 2: Convert to fraction form
    102,347.17/153,544.13 = 31,279.92/x
  3. Step 3: Cross multiply
    102,347.17x = 153,544.13 × 31,279.92
  4. Step 4: Simplify right side
    102,347.17x = 4,802,848,102.87
  5. Step 5: Solve for x
    x = 4,802,848,102.87/102,347.17
  6. Step 6: Final answer
    x = 46,927.02

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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.