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Finding the Fourth Proportional to 32,189.94, 48,275.68 and 9,702.80

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Solution

The fourth proportional to 32,189.94, 48,275.68 and 9,702.80 is: 14,551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.94 : 48,275.68 = 9,702.80 : x
  2. Step 2: Convert to fraction form
    32,189.94/48,275.68 = 9,702.80/x
  3. Step 3: Cross multiply
    32,189.94x = 48,275.68 × 9,702.80
  4. Step 4: Simplify right side
    32,189.94x = 468,409,473.05
  5. Step 5: Solve for x
    x = 468,409,473.05/32,189.94
  6. Step 6: Final answer
    x = 14,551.42

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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.