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Finding the Fourth Proportional to 83,292.50, 114,946.35 and 45,566.75

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Solution

The fourth proportional to 83,292.50, 114,946.35 and 45,566.75 is: 62,883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,292.50 : 114,946.35 = 45,566.75 : x
  2. Step 2: Convert to fraction form
    83,292.50/114,946.35 = 45,566.75/x
  3. Step 3: Cross multiply
    83,292.50x = 114,946.35 × 45,566.75
  4. Step 4: Simplify right side
    83,292.50x = 5,237,731,019.13
  5. Step 5: Solve for x
    x = 5,237,731,019.13/83,292.50
  6. Step 6: Final answer
    x = 62,883.59

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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.