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Finding the Fourth Proportional to 34,802.44, 47,992.08 and 29,783.32

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Solution

The fourth proportional to 34,802.44, 47,992.08 and 29,783.32 is: 41,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,802.44 : 47,992.08 = 29,783.32 : x
  2. Step 2: Convert to fraction form
    34,802.44/47,992.08 = 29,783.32/x
  3. Step 3: Cross multiply
    34,802.44x = 47,992.08 × 29,783.32
  4. Step 4: Simplify right side
    34,802.44x = 1,429,363,476.11
  5. Step 5: Solve for x
    x = 1,429,363,476.11/34,802.44
  6. Step 6: Final answer
    x = 41,070.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.