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Finding the Fourth Proportional to 97,262.52, 145,835.40 and 38,027.64

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Solution

The fourth proportional to 97,262.52, 145,835.40 and 38,027.64 is: 57,018.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,262.52 : 145,835.40 = 38,027.64 : x
  2. Step 2: Convert to fraction form
    97,262.52/145,835.40 = 38,027.64/x
  3. Step 3: Cross multiply
    97,262.52x = 145,835.40 × 38,027.64
  4. Step 4: Simplify right side
    97,262.52x = 5,545,776,090.46
  5. Step 5: Solve for x
    x = 5,545,776,090.46/97,262.52
  6. Step 6: Final answer
    x = 57,018.63

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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.