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Finding the Fourth Proportional to 64,765.44, 97,148.16 and 37,044

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Solution

The fourth proportional to 64,765.44, 97,148.16 and 37,044 is: 55,566

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,765.44 : 97,148.16 = 37,044 : x
  2. Step 2: Convert to fraction form
    64,765.44/97,148.16 = 37,044/x
  3. Step 3: Cross multiply
    64,765.44x = 97,148.16 × 37,044
  4. Step 4: Simplify right side
    64,765.44x = 3,598,756,439.04
  5. Step 5: Solve for x
    x = 3,598,756,439.04/64,765.44
  6. Step 6: Final answer
    x = 55,566

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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.