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Finding the Fourth Proportional to 29,678.58, 44,510.96 and 13,894.50

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Solution

The fourth proportional to 29,678.58, 44,510.96 and 13,894.50 is: 20,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678.58 : 44,510.96 = 13,894.50 : x
  2. Step 2: Convert to fraction form
    29,678.58/44,510.96 = 13,894.50/x
  3. Step 3: Cross multiply
    29,678.58x = 44,510.96 × 13,894.50
  4. Step 4: Simplify right side
    29,678.58x = 618,457,533.72
  5. Step 5: Solve for x
    x = 618,457,533.72/29,678.58
  6. Step 6: Final answer
    x = 20,838.51

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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.