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Finding the Fourth Proportional to 56,802.63, 85,177.86 and 19,347.46

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Solution

The fourth proportional to 56,802.63, 85,177.86 and 19,347.46 is: 29,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,802.63 : 85,177.86 = 19,347.46 : x
  2. Step 2: Convert to fraction form
    56,802.63/85,177.86 = 19,347.46/x
  3. Step 3: Cross multiply
    56,802.63x = 85,177.86 × 19,347.46
  4. Step 4: Simplify right side
    56,802.63x = 1,647,975,239.24
  5. Step 5: Solve for x
    x = 1,647,975,239.24/56,802.63
  6. Step 6: Final answer
    x = 29,012.31

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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.