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Finding the Fourth Proportional to 83,070, 114,596.68 and 54,377.01

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Solution

The fourth proportional to 83,070, 114,596.68 and 54,377.01 is: 75,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,070 : 114,596.68 = 54,377.01 : x
  2. Step 2: Convert to fraction form
    83,070/114,596.68 = 54,377.01/x
  3. Step 3: Cross multiply
    83,070x = 114,596.68 × 54,377.01
  4. Step 4: Simplify right side
    83,070x = 6,231,424,814.33
  5. Step 5: Solve for x
    x = 6,231,424,814.33/83,070
  6. Step 6: Final answer
    x = 75,014.14

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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.