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Finding the Fourth Proportional to 46,470, 69,665.81 and 20,154.92

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Solution

The fourth proportional to 46,470, 69,665.81 and 20,154.92 is: 30,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,470 : 69,665.81 = 20,154.92 : x
  2. Step 2: Convert to fraction form
    46,470/69,665.81 = 20,154.92/x
  3. Step 3: Cross multiply
    46,470x = 69,665.81 × 20,154.92
  4. Step 4: Simplify right side
    46,470x = 1,404,108,726.51
  5. Step 5: Solve for x
    x = 1,404,108,726.51/46,470
  6. Step 6: Final answer
    x = 30,215.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.