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Finding the Fourth Proportional to 83,543.83, 115,296.59 and 47,733.07

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Solution

The fourth proportional to 83,543.83, 115,296.59 and 47,733.07 is: 65,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,543.83 : 115,296.59 = 47,733.07 : x
  2. Step 2: Convert to fraction form
    83,543.83/115,296.59 = 47,733.07/x
  3. Step 3: Cross multiply
    83,543.83x = 115,296.59 × 47,733.07
  4. Step 4: Simplify right side
    83,543.83x = 5,503,460,201.23
  5. Step 5: Solve for x
    x = 5,503,460,201.23/83,543.83
  6. Step 6: Final answer
    x = 65,875.12

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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.