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Finding the Fourth Proportional to 35,832.01, 53,742.03 and 10,866.10

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Solution

The fourth proportional to 35,832.01, 53,742.03 and 10,866.10 is: 16,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,832.01 : 53,742.03 = 10,866.10 : x
  2. Step 2: Convert to fraction form
    35,832.01/53,742.03 = 10,866.10/x
  3. Step 3: Cross multiply
    35,832.01x = 53,742.03 × 10,866.10
  4. Step 4: Simplify right side
    35,832.01x = 583,966,272.18
  5. Step 5: Solve for x
    x = 583,966,272.18/35,832.01
  6. Step 6: Final answer
    x = 16,297.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.