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Finding the Fourth Proportional to 34,752, 47,957.76 and 19,848

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Solution

The fourth proportional to 34,752, 47,957.76 and 19,848 is: 27,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,752 : 47,957.76 = 19,848 : x
  2. Step 2: Convert to fraction form
    34,752/47,957.76 = 19,848/x
  3. Step 3: Cross multiply
    34,752x = 47,957.76 × 19,848
  4. Step 4: Simplify right side
    34,752x = 951,865,620.48
  5. Step 5: Solve for x
    x = 951,865,620.48/34,752
  6. Step 6: Final answer
    x = 27,390.24

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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.