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Finding the Fourth Proportional to 48,114.64, 72,186.54 and 21,812.32

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Solution

The fourth proportional to 48,114.64, 72,186.54 and 21,812.32 is: 32,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,114.64 : 72,186.54 = 21,812.32 : x
  2. Step 2: Convert to fraction form
    48,114.64/72,186.54 = 21,812.32/x
  3. Step 3: Cross multiply
    48,114.64x = 72,186.54 × 21,812.32
  4. Step 4: Simplify right side
    48,114.64x = 1,574,555,910.17
  5. Step 5: Solve for x
    x = 1,574,555,910.17/48,114.64
  6. Step 6: Final answer
    x = 32,725.09

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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.