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Finding the Fourth Proportional to 46,128, 69,192 and 14,963.25

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Solution

The fourth proportional to 46,128, 69,192 and 14,963.25 is: 22,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,128 : 69,192 = 14,963.25 : x
  2. Step 2: Convert to fraction form
    46,128/69,192 = 14,963.25/x
  3. Step 3: Cross multiply
    46,128x = 69,192 × 14,963.25
  4. Step 4: Simplify right side
    46,128x = 1,035,337,194
  5. Step 5: Solve for x
    x = 1,035,337,194/46,128
  6. Step 6: Final answer
    x = 22,444.88

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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.