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Finding the Fourth Proportional to 71,583.51, 98,812.80 and 47,701.47

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Solution

The fourth proportional to 71,583.51, 98,812.80 and 47,701.47 is: 65,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,583.51 : 98,812.80 = 47,701.47 : x
  2. Step 2: Convert to fraction form
    71,583.51/98,812.80 = 47,701.47/x
  3. Step 3: Cross multiply
    71,583.51x = 98,812.80 × 47,701.47
  4. Step 4: Simplify right side
    71,583.51x = 4,713,515,814.82
  5. Step 5: Solve for x
    x = 4,713,515,814.82/71,583.51
  6. Step 6: Final answer
    x = 65,846.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.