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Finding the Fourth Proportional to 83,312.66, 114,971.00 and 45,072.09

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Solution

The fourth proportional to 83,312.66, 114,971.00 and 45,072.09 is: 62,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,312.66 : 114,971.00 = 45,072.09 : x
  2. Step 2: Convert to fraction form
    83,312.66/114,971.00 = 45,072.09/x
  3. Step 3: Cross multiply
    83,312.66x = 114,971.00 × 45,072.09
  4. Step 4: Simplify right side
    83,312.66x = 5,181,983,034.03
  5. Step 5: Solve for x
    x = 5,181,983,034.03/83,312.66
  6. Step 6: Final answer
    x = 62,199.23

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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.