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Finding the Fourth Proportional to 83,308.95, 114,965.83 and 45,068.34

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Solution

The fourth proportional to 83,308.95, 114,965.83 and 45,068.34 is: 62,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,308.95 : 114,965.83 = 45,068.34 : x
  2. Step 2: Convert to fraction form
    83,308.95/114,965.83 = 45,068.34/x
  3. Step 3: Cross multiply
    83,308.95x = 114,965.83 × 45,068.34
  4. Step 4: Simplify right side
    83,308.95x = 5,181,319,602.28
  5. Step 5: Solve for x
    x = 5,181,319,602.28/83,308.95
  6. Step 6: Final answer
    x = 62,194.03

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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.