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Finding the Fourth Proportional to 32,633.16, 48,948.88 and 9,259.60

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Solution

The fourth proportional to 32,633.16, 48,948.88 and 9,259.60 is: 13,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,633.16 : 48,948.88 = 9,259.60 : x
  2. Step 2: Convert to fraction form
    32,633.16/48,948.88 = 9,259.60/x
  3. Step 3: Cross multiply
    32,633.16x = 48,948.88 × 9,259.60
  4. Step 4: Simplify right side
    32,633.16x = 453,247,049.25
  5. Step 5: Solve for x
    x = 453,247,049.25/32,633.16
  6. Step 6: Final answer
    x = 13,889.16

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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.