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Finding the Fourth Proportional to 102,005.20, 153,007.80 and 31,891.60

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Solution

The fourth proportional to 102,005.20, 153,007.80 and 31,891.60 is: 47,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,005.20 : 153,007.80 = 31,891.60 : x
  2. Step 2: Convert to fraction form
    102,005.20/153,007.80 = 31,891.60/x
  3. Step 3: Cross multiply
    102,005.20x = 153,007.80 × 31,891.60
  4. Step 4: Simplify right side
    102,005.20x = 4,879,663,554.48
  5. Step 5: Solve for x
    x = 4,879,663,554.48/102,005.20
  6. Step 6: Final answer
    x = 47,837.40

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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.