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Finding the Fourth Proportional to 46,812.38, 64,594.94 and 27,945.50

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Solution

The fourth proportional to 46,812.38, 64,594.94 and 27,945.50 is: 38,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,812.38 : 64,594.94 = 27,945.50 : x
  2. Step 2: Convert to fraction form
    46,812.38/64,594.94 = 27,945.50/x
  3. Step 3: Cross multiply
    46,812.38x = 64,594.94 × 27,945.50
  4. Step 4: Simplify right side
    46,812.38x = 1,805,137,895.77
  5. Step 5: Solve for x
    x = 1,805,137,895.77/46,812.38
  6. Step 6: Final answer
    x = 38,561.12

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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.