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Finding the Fourth Proportional to 65,185.35, 97,780.80 and 23,065.77

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Solution

The fourth proportional to 65,185.35, 97,780.80 and 23,065.77 is: 34,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,185.35 : 97,780.80 = 23,065.77 : x
  2. Step 2: Convert to fraction form
    65,185.35/97,780.80 = 23,065.77/x
  3. Step 3: Cross multiply
    65,185.35x = 97,780.80 × 23,065.77
  4. Step 4: Simplify right side
    65,185.35x = 2,255,389,443.22
  5. Step 5: Solve for x
    x = 2,255,389,443.22/65,185.35
  6. Step 6: Final answer
    x = 34,599.64

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1.5x scale

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.