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Finding the Fourth Proportional to 29,970, 44,954.84 and 7,783.36

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Solution

The fourth proportional to 29,970, 44,954.84 and 7,783.36 is: 11,675.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970 : 44,954.84 = 7,783.36 : x
  2. Step 2: Convert to fraction form
    29,970/44,954.84 = 7,783.36/x
  3. Step 3: Cross multiply
    29,970x = 44,954.84 × 7,783.36
  4. Step 4: Simplify right side
    29,970x = 349,899,703.46
  5. Step 5: Solve for x
    x = 349,899,703.46/29,970
  6. Step 6: Final answer
    x = 11,675.00

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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.