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Finding the Fourth Proportional to 65,262, 97,893.03 and 28,326

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Solution

The fourth proportional to 65,262, 97,893.03 and 28,326 is: 42,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,262 : 97,893.03 = 28,326 : x
  2. Step 2: Convert to fraction form
    65,262/97,893.03 = 28,326/x
  3. Step 3: Cross multiply
    65,262x = 97,893.03 × 28,326
  4. Step 4: Simplify right side
    65,262x = 2,772,917,967.78
  5. Step 5: Solve for x
    x = 2,772,917,967.78/65,262
  6. Step 6: Final answer
    x = 42,489.01

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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.