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Finding the Fourth Proportional to 83,094.41, 114,668.81 and 47,283.65

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Solution

The fourth proportional to 83,094.41, 114,668.81 and 47,283.65 is: 65,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,094.41 : 114,668.81 = 47,283.65 : x
  2. Step 2: Convert to fraction form
    83,094.41/114,668.81 = 47,283.65/x
  3. Step 3: Cross multiply
    83,094.41x = 114,668.81 × 47,283.65
  4. Step 4: Simplify right side
    83,094.41x = 5,421,959,941.49
  5. Step 5: Solve for x
    x = 5,421,959,941.49/83,094.41
  6. Step 6: Final answer
    x = 65,250.60

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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.