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Finding the Fourth Proportional to 51,792.74, 77,693.51 and 14,352.81

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Solution

The fourth proportional to 51,792.74, 77,693.51 and 14,352.81 is: 21,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,792.74 : 77,693.51 = 14,352.81 : x
  2. Step 2: Convert to fraction form
    51,792.74/77,693.51 = 14,352.81/x
  3. Step 3: Cross multiply
    51,792.74x = 77,693.51 × 14,352.81
  4. Step 4: Simplify right side
    51,792.74x = 1,115,120,187.26
  5. Step 5: Solve for x
    x = 1,115,120,187.26/51,792.74
  6. Step 6: Final answer
    x = 21,530.43

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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.