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Finding the Fourth Proportional to 53,802.72, 74,203.54 and 47,757.38

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Solution

The fourth proportional to 53,802.72, 74,203.54 and 47,757.38 is: 65,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,802.72 : 74,203.54 = 47,757.38 : x
  2. Step 2: Convert to fraction form
    53,802.72/74,203.54 = 47,757.38/x
  3. Step 3: Cross multiply
    53,802.72x = 74,203.54 × 47,757.38
  4. Step 4: Simplify right side
    53,802.72x = 3,543,766,166.71
  5. Step 5: Solve for x
    x = 3,543,766,166.71/53,802.72
  6. Step 6: Final answer
    x = 65,865.93

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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.