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Finding the Fourth Proportional to 53,007.84, 79,509.24 and 15,566.40

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Solution

The fourth proportional to 53,007.84, 79,509.24 and 15,566.40 is: 23,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,007.84 : 79,509.24 = 15,566.40 : x
  2. Step 2: Convert to fraction form
    53,007.84/79,509.24 = 15,566.40/x
  3. Step 3: Cross multiply
    53,007.84x = 79,509.24 × 15,566.40
  4. Step 4: Simplify right side
    53,007.84x = 1,237,672,633.54
  5. Step 5: Solve for x
    x = 1,237,672,633.54/53,007.84
  6. Step 6: Final answer
    x = 23,348.86

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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.