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Finding the Fourth Proportional to 64,848, 97,301.28 and 37,146

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Solution

The fourth proportional to 64,848, 97,301.28 and 37,146 is: 55,735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,848 : 97,301.28 = 37,146 : x
  2. Step 2: Convert to fraction form
    64,848/97,301.28 = 37,146/x
  3. Step 3: Cross multiply
    64,848x = 97,301.28 × 37,146
  4. Step 4: Simplify right side
    64,848x = 3,614,353,346.88
  5. Step 5: Solve for x
    x = 3,614,353,346.88/64,848
  6. Step 6: Final answer
    x = 55,735.77

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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.