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Finding the Fourth Proportional to 35,493.42, 48,974.10 and 21,347.18

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Solution

The fourth proportional to 35,493.42, 48,974.10 and 21,347.18 is: 29,455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,493.42 : 48,974.10 = 21,347.18 : x
  2. Step 2: Convert to fraction form
    35,493.42/48,974.10 = 21,347.18/x
  3. Step 3: Cross multiply
    35,493.42x = 48,974.10 × 21,347.18
  4. Step 4: Simplify right side
    35,493.42x = 1,045,458,683.17
  5. Step 5: Solve for x
    x = 1,045,458,683.17/35,493.42
  6. Step 6: Final answer
    x = 29,455.00

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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.