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Finding the Fourth Proportional to 83,813.48, 115,663.44 and 46,088

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Solution

The fourth proportional to 83,813.48, 115,663.44 and 46,088 is: 63,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,813.48 : 115,663.44 = 46,088 : x
  2. Step 2: Convert to fraction form
    83,813.48/115,663.44 = 46,088/x
  3. Step 3: Cross multiply
    83,813.48x = 115,663.44 × 46,088
  4. Step 4: Simplify right side
    83,813.48x = 5,330,696,622.72
  5. Step 5: Solve for x
    x = 5,330,696,622.72/83,813.48
  6. Step 6: Final answer
    x = 63,601.90

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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.