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Finding the Fourth Proportional to 83,916.82, 115,807.02 and 46,191.07

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Solution

The fourth proportional to 83,916.82, 115,807.02 and 46,191.07 is: 63,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,916.82 : 115,807.02 = 46,191.07 : x
  2. Step 2: Convert to fraction form
    83,916.82/115,807.02 = 46,191.07/x
  3. Step 3: Cross multiply
    83,916.82x = 115,807.02 × 46,191.07
  4. Step 4: Simplify right side
    83,916.82x = 5,349,250,167.31
  5. Step 5: Solve for x
    x = 5,349,250,167.31/83,916.82
  6. Step 6: Final answer
    x = 63,744.67

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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.