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Finding the Fourth Proportional to 83,085.76, 114,668.20 and 46,788.38

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Solution

The fourth proportional to 83,085.76, 114,668.20 and 46,788.38 is: 64,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,085.76 : 114,668.20 = 46,788.38 : x
  2. Step 2: Convert to fraction form
    83,085.76/114,668.20 = 46,788.38/x
  3. Step 3: Cross multiply
    83,085.76x = 114,668.20 × 46,788.38
  4. Step 4: Simplify right side
    83,085.76x = 5,365,139,315.52
  5. Step 5: Solve for x
    x = 5,365,139,315.52/83,085.76
  6. Step 6: Final answer
    x = 64,573.51

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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.