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Finding the Fourth Proportional to 35,929.47, 49,542.80 and 29,449.47

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Solution

The fourth proportional to 35,929.47, 49,542.80 and 29,449.47 is: 40,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,929.47 : 49,542.80 = 29,449.47 : x
  2. Step 2: Convert to fraction form
    35,929.47/49,542.80 = 29,449.47/x
  3. Step 3: Cross multiply
    35,929.47x = 49,542.80 × 29,449.47
  4. Step 4: Simplify right side
    35,929.47x = 1,459,009,055.07
  5. Step 5: Solve for x
    x = 1,459,009,055.07/35,929.47
  6. Step 6: Final answer
    x = 40,607.59

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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.