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Finding the Fourth Proportional to 34,029, 46,960.02 and 19,125

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Solution

The fourth proportional to 34,029, 46,960.02 and 19,125 is: 26,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,029 : 46,960.02 = 19,125 : x
  2. Step 2: Convert to fraction form
    34,029/46,960.02 = 19,125/x
  3. Step 3: Cross multiply
    34,029x = 46,960.02 × 19,125
  4. Step 4: Simplify right side
    34,029x = 898,110,382.50
  5. Step 5: Solve for x
    x = 898,110,382.50/34,029
  6. Step 6: Final answer
    x = 26,392.50

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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.