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Finding the Fourth Proportional to 53,566.94, 80,349.52 and 13,040.88

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Solution

The fourth proportional to 53,566.94, 80,349.52 and 13,040.88 is: 19,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,566.94 : 80,349.52 = 13,040.88 : x
  2. Step 2: Convert to fraction form
    53,566.94/80,349.52 = 13,040.88/x
  3. Step 3: Cross multiply
    53,566.94x = 80,349.52 × 13,040.88
  4. Step 4: Simplify right side
    53,566.94x = 1,047,828,590.88
  5. Step 5: Solve for x
    x = 1,047,828,590.88/53,566.94
  6. Step 6: Final answer
    x = 19,561.11

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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.