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Finding the Fourth Proportional to 32,159.83, 48,245.22 and 11,094.16

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Solution

The fourth proportional to 32,159.83, 48,245.22 and 11,094.16 is: 16,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,159.83 : 48,245.22 = 11,094.16 : x
  2. Step 2: Convert to fraction form
    32,159.83/48,245.22 = 11,094.16/x
  3. Step 3: Cross multiply
    32,159.83x = 48,245.22 × 11,094.16
  4. Step 4: Simplify right side
    32,159.83x = 535,240,189.92
  5. Step 5: Solve for x
    x = 535,240,189.92/32,159.83
  6. Step 6: Final answer
    x = 16,643.13

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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.