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Finding the Fourth Proportional to 102,369.63, 153,554.84 and 31,292.00

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Solution

The fourth proportional to 102,369.63, 153,554.84 and 31,292.00 is: 46,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,369.63 : 153,554.84 = 31,292.00 : x
  2. Step 2: Convert to fraction form
    102,369.63/153,554.84 = 31,292.00/x
  3. Step 3: Cross multiply
    102,369.63x = 153,554.84 × 31,292.00
  4. Step 4: Simplify right side
    102,369.63x = 4,805,037,456.35
  5. Step 5: Solve for x
    x = 4,805,037,456.35/102,369.63
  6. Step 6: Final answer
    x = 46,938.11

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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.