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Finding the Fourth Proportional to 29,784.30, 44,712.90 and 29,565.60

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Solution

The fourth proportional to 29,784.30, 44,712.90 and 29,565.60 is: 44,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.30 : 44,712.90 = 29,565.60 : x
  2. Step 2: Convert to fraction form
    29,784.30/44,712.90 = 29,565.60/x
  3. Step 3: Cross multiply
    29,784.30x = 44,712.90 × 29,565.60
  4. Step 4: Simplify right side
    29,784.30x = 1,321,963,716.24
  5. Step 5: Solve for x
    x = 1,321,963,716.24/29,784.30
  6. Step 6: Final answer
    x = 44,384.58

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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.