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Finding the Fourth Proportional to 35,486.60, 48,977.34 and 21,347.24

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Solution

The fourth proportional to 35,486.60, 48,977.34 and 21,347.24 is: 29,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,486.60 : 48,977.34 = 21,347.24 : x
  2. Step 2: Convert to fraction form
    35,486.60/48,977.34 = 21,347.24/x
  3. Step 3: Cross multiply
    35,486.60x = 48,977.34 × 21,347.24
  4. Step 4: Simplify right side
    35,486.60x = 1,045,531,031.54
  5. Step 5: Solve for x
    x = 1,045,531,031.54/35,486.60
  6. Step 6: Final answer
    x = 29,462.70

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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.