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Finding the Fourth Proportional to 64,955.10, 97,384.05 and 35,406.30

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Solution

The fourth proportional to 64,955.10, 97,384.05 and 35,406.30 is: 53,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,955.10 : 97,384.05 = 35,406.30 : x
  2. Step 2: Convert to fraction form
    64,955.10/97,384.05 = 35,406.30/x
  3. Step 3: Cross multiply
    64,955.10x = 97,384.05 × 35,406.30
  4. Step 4: Simplify right side
    64,955.10x = 3,448,008,889.52
  5. Step 5: Solve for x
    x = 3,448,008,889.52/64,955.10
  6. Step 6: Final answer
    x = 53,082.96

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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.