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Finding the Fourth Proportional to 83,619, 115,381.26 and 47,810.52

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Solution

The fourth proportional to 83,619, 115,381.26 and 47,810.52 is: 65,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,619 : 115,381.26 = 47,810.52 : x
  2. Step 2: Convert to fraction form
    83,619/115,381.26 = 47,810.52/x
  3. Step 3: Cross multiply
    83,619x = 115,381.26 × 47,810.52
  4. Step 4: Simplify right side
    83,619x = 5,516,438,038.86
  5. Step 5: Solve for x
    x = 5,516,438,038.86/83,619
  6. Step 6: Final answer
    x = 65,971.11

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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.