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Finding the Fourth Proportional to 65,085.50, 97,635.95 and 22,956.80

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Solution

The fourth proportional to 65,085.50, 97,635.95 and 22,956.80 is: 34,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,085.50 : 97,635.95 = 22,956.80 : x
  2. Step 2: Convert to fraction form
    65,085.50/97,635.95 = 22,956.80/x
  3. Step 3: Cross multiply
    65,085.50x = 97,635.95 × 22,956.80
  4. Step 4: Simplify right side
    65,085.50x = 2,241,408,460.08
  5. Step 5: Solve for x
    x = 2,241,408,460.08/65,085.50
  6. Step 6: Final answer
    x = 34,437.91

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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.