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Finding the Fourth Proportional to 35,609.36, 53,409.96 and 9,316.64

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Solution

The fourth proportional to 35,609.36, 53,409.96 and 9,316.64 is: 13,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,609.36 : 53,409.96 = 9,316.64 : x
  2. Step 2: Convert to fraction form
    35,609.36/53,409.96 = 9,316.64/x
  3. Step 3: Cross multiply
    35,609.36x = 53,409.96 × 9,316.64
  4. Step 4: Simplify right side
    35,609.36x = 497,601,369.73
  5. Step 5: Solve for x
    x = 497,601,369.73/35,609.36
  6. Step 6: Final answer
    x = 13,973.89

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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.