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Finding the Fourth Proportional to 29,746.78, 44,565.02 and 21,295.84

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Solution

The fourth proportional to 29,746.78, 44,565.02 and 21,295.84 is: 31,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,746.78 : 44,565.02 = 21,295.84 : x
  2. Step 2: Convert to fraction form
    29,746.78/44,565.02 = 21,295.84/x
  3. Step 3: Cross multiply
    29,746.78x = 44,565.02 × 21,295.84
  4. Step 4: Simplify right side
    29,746.78x = 949,049,535.52
  5. Step 5: Solve for x
    x = 949,049,535.52/29,746.78
  6. Step 6: Final answer
    x = 31,904.28

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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.