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Finding the Fourth Proportional to 30,896, 45,946.54 and 29,911.84

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Solution

The fourth proportional to 30,896, 45,946.54 and 29,911.84 is: 44,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896 : 45,946.54 = 29,911.84 : x
  2. Step 2: Convert to fraction form
    30,896/45,946.54 = 29,911.84/x
  3. Step 3: Cross multiply
    30,896x = 45,946.54 × 29,911.84
  4. Step 4: Simplify right side
    30,896x = 1,374,345,553.03
  5. Step 5: Solve for x
    x = 1,374,345,553.03/30,896
  6. Step 6: Final answer
    x = 44,482.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.