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Finding the Fourth Proportional to 35,807.48, 53,697.42 and 13,609.16

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Solution

The fourth proportional to 35,807.48, 53,697.42 and 13,609.16 is: 20,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,807.48 : 53,697.42 = 13,609.16 : x
  2. Step 2: Convert to fraction form
    35,807.48/53,697.42 = 13,609.16/x
  3. Step 3: Cross multiply
    35,807.48x = 53,697.42 × 13,609.16
  4. Step 4: Simplify right side
    35,807.48x = 730,776,780.37
  5. Step 5: Solve for x
    x = 730,776,780.37/35,807.48
  6. Step 6: Final answer
    x = 20,408.50

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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.