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Finding the Fourth Proportional to 35,655.30, 49,094.52 and 31,669.50

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Solution

The fourth proportional to 35,655.30, 49,094.52 and 31,669.50 is: 43,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,655.30 : 49,094.52 = 31,669.50 : x
  2. Step 2: Convert to fraction form
    35,655.30/49,094.52 = 31,669.50/x
  3. Step 3: Cross multiply
    35,655.30x = 49,094.52 × 31,669.50
  4. Step 4: Simplify right side
    35,655.30x = 1,554,798,901.14
  5. Step 5: Solve for x
    x = 1,554,798,901.14/35,655.30
  6. Step 6: Final answer
    x = 43,606.39

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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.