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Finding the Fourth Proportional to 83,303.19, 114,911.68 and 51,053.44

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Solution

The fourth proportional to 83,303.19, 114,911.68 and 51,053.44 is: 70,425.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,303.19 : 114,911.68 = 51,053.44 : x
  2. Step 2: Convert to fraction form
    83,303.19/114,911.68 = 51,053.44/x
  3. Step 3: Cross multiply
    83,303.19x = 114,911.68 × 51,053.44
  4. Step 4: Simplify right side
    83,303.19x = 5,866,635,985.62
  5. Step 5: Solve for x
    x = 5,866,635,985.62/83,303.19
  6. Step 6: Final answer
    x = 70,425.11

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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.