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Finding the Fourth Proportional to 64,614.81, 97,032.93 and 35,090.31

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Solution

The fourth proportional to 64,614.81, 97,032.93 and 35,090.31 is: 52,695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,614.81 : 97,032.93 = 35,090.31 : x
  2. Step 2: Convert to fraction form
    64,614.81/97,032.93 = 35,090.31/x
  3. Step 3: Cross multiply
    64,614.81x = 97,032.93 × 35,090.31
  4. Step 4: Simplify right side
    64,614.81x = 3,404,915,593.91
  5. Step 5: Solve for x
    x = 3,404,915,593.91/64,614.81
  6. Step 6: Final answer
    x = 52,695.59

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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.