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Finding the Fourth Proportional to 83,916.38, 115,804.55 and 46,190.63

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Solution

The fourth proportional to 83,916.38, 115,804.55 and 46,190.63 is: 63,743.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,916.38 : 115,804.55 = 46,190.63 : x
  2. Step 2: Convert to fraction form
    83,916.38/115,804.55 = 46,190.63/x
  3. Step 3: Cross multiply
    83,916.38x = 115,804.55 × 46,190.63
  4. Step 4: Simplify right side
    83,916.38x = 5,349,085,526.35
  5. Step 5: Solve for x
    x = 5,349,085,526.35/83,916.38
  6. Step 6: Final answer
    x = 63,743.04

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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.