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Finding the Fourth Proportional to 35,510.73, 48,977.08 and 22,765.11

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Solution

The fourth proportional to 35,510.73, 48,977.08 and 22,765.11 is: 31,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,510.73 : 48,977.08 = 22,765.11 : x
  2. Step 2: Convert to fraction form
    35,510.73/48,977.08 = 22,765.11/x
  3. Step 3: Cross multiply
    35,510.73x = 48,977.08 × 22,765.11
  4. Step 4: Simplify right side
    35,510.73x = 1,114,968,613.68
  5. Step 5: Solve for x
    x = 1,114,968,613.68/35,510.73
  6. Step 6: Final answer
    x = 31,398.08

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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.