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Finding the Fourth Proportional to 50,970.64, 76,478.52 and 19,808.24

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Solution

The fourth proportional to 50,970.64, 76,478.52 and 19,808.24 is: 29,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,970.64 : 76,478.52 = 19,808.24 : x
  2. Step 2: Convert to fraction form
    50,970.64/76,478.52 = 19,808.24/x
  3. Step 3: Cross multiply
    50,970.64x = 76,478.52 × 19,808.24
  4. Step 4: Simplify right side
    50,970.64x = 1,514,904,879.00
  5. Step 5: Solve for x
    x = 1,514,904,879.00/50,970.64
  6. Step 6: Final answer
    x = 29,721.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.