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Finding the Fourth Proportional to 51,885.81, 77,730.29 and 30,781.26

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Solution

The fourth proportional to 51,885.81, 77,730.29 and 30,781.26 is: 46,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,885.81 : 77,730.29 = 30,781.26 : x
  2. Step 2: Convert to fraction form
    51,885.81/77,730.29 = 30,781.26/x
  3. Step 3: Cross multiply
    51,885.81x = 77,730.29 × 30,781.26
  4. Step 4: Simplify right side
    51,885.81x = 2,392,636,112.46
  5. Step 5: Solve for x
    x = 2,392,636,112.46/51,885.81
  6. Step 6: Final answer
    x = 46,113.50

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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.