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Finding the Fourth Proportional to 64,956, 97,432.32 and 17,575.68

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Solution

The fourth proportional to 64,956, 97,432.32 and 17,575.68 is: 26,363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,956 : 97,432.32 = 17,575.68 : x
  2. Step 2: Convert to fraction form
    64,956/97,432.32 = 17,575.68/x
  3. Step 3: Cross multiply
    64,956x = 97,432.32 × 17,575.68
  4. Step 4: Simplify right side
    64,956x = 1,712,439,277.98
  5. Step 5: Solve for x
    x = 1,712,439,277.98/64,956
  6. Step 6: Final answer
    x = 26,363.07

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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.