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Finding the Fourth Proportional to 32,657.08, 48,984.54 and 14,189.08

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Solution

The fourth proportional to 32,657.08, 48,984.54 and 14,189.08 is: 21,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.08 : 48,984.54 = 14,189.08 : x
  2. Step 2: Convert to fraction form
    32,657.08/48,984.54 = 14,189.08/x
  3. Step 3: Cross multiply
    32,657.08x = 48,984.54 × 14,189.08
  4. Step 4: Simplify right side
    32,657.08x = 695,045,556.82
  5. Step 5: Solve for x
    x = 695,045,556.82/32,657.08
  6. Step 6: Final answer
    x = 21,283.15

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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.