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Finding the Fourth Proportional to 65,197.76, 97,800.80 and 18,454.28

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Solution

The fourth proportional to 65,197.76, 97,800.80 and 18,454.28 is: 27,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,197.76 : 97,800.80 = 18,454.28 : x
  2. Step 2: Convert to fraction form
    65,197.76/97,800.80 = 18,454.28/x
  3. Step 3: Cross multiply
    65,197.76x = 97,800.80 × 18,454.28
  4. Step 4: Simplify right side
    65,197.76x = 1,804,843,347.42
  5. Step 5: Solve for x
    x = 1,804,843,347.42/65,197.76
  6. Step 6: Final answer
    x = 27,682.60

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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.