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Finding the Fourth Proportional to 29,971.32, 44,957.16 and 12,202.32

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Solution

The fourth proportional to 29,971.32, 44,957.16 and 12,202.32 is: 18,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.32 : 44,957.16 = 12,202.32 : x
  2. Step 2: Convert to fraction form
    29,971.32/44,957.16 = 12,202.32/x
  3. Step 3: Cross multiply
    29,971.32x = 44,957.16 × 12,202.32
  4. Step 4: Simplify right side
    29,971.32x = 548,581,652.61
  5. Step 5: Solve for x
    x = 548,581,652.61/29,971.32
  6. Step 6: Final answer
    x = 18,303.55

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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.