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Finding the Fourth Proportional to 64,965.10, 97,301.85 and 53,301.10

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Solution

The fourth proportional to 64,965.10, 97,301.85 and 53,301.10 is: 79,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,965.10 : 97,301.85 = 53,301.10 : x
  2. Step 2: Convert to fraction form
    64,965.10/97,301.85 = 53,301.10/x
  3. Step 3: Cross multiply
    64,965.10x = 97,301.85 × 53,301.10
  4. Step 4: Simplify right side
    64,965.10x = 5,186,295,637.04
  5. Step 5: Solve for x
    x = 5,186,295,637.04/64,965.10
  6. Step 6: Final answer
    x = 79,832.03

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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.