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Finding the Fourth Proportional to 83,666.27, 115,426.05 and 53,443.76

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Solution

The fourth proportional to 83,666.27, 115,426.05 and 53,443.76 is: 73,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,666.27 : 115,426.05 = 53,443.76 : x
  2. Step 2: Convert to fraction form
    83,666.27/115,426.05 = 53,443.76/x
  3. Step 3: Cross multiply
    83,666.27x = 115,426.05 × 53,443.76
  4. Step 4: Simplify right side
    83,666.27x = 6,168,801,536.82
  5. Step 5: Solve for x
    x = 6,168,801,536.82/83,666.27
  6. Step 6: Final answer
    x = 73,731.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.