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Finding the Fourth Proportional to 35,213.77, 52,822.29 and 13,023.01

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Solution

The fourth proportional to 35,213.77, 52,822.29 and 13,023.01 is: 19,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,213.77 : 52,822.29 = 13,023.01 : x
  2. Step 2: Convert to fraction form
    35,213.77/52,822.29 = 13,023.01/x
  3. Step 3: Cross multiply
    35,213.77x = 52,822.29 × 13,023.01
  4. Step 4: Simplify right side
    35,213.77x = 687,905,210.89
  5. Step 5: Solve for x
    x = 687,905,210.89/35,213.77
  6. Step 6: Final answer
    x = 19,535.12

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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.