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Finding the Fourth Proportional to 43,657.65, 65,492.64 and 14,082.12

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Solution

The fourth proportional to 43,657.65, 65,492.64 and 14,082.12 is: 21,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,657.65 : 65,492.64 = 14,082.12 : x
  2. Step 2: Convert to fraction form
    43,657.65/65,492.64 = 14,082.12/x
  3. Step 3: Cross multiply
    43,657.65x = 65,492.64 × 14,082.12
  4. Step 4: Simplify right side
    43,657.65x = 922,275,215.60
  5. Step 5: Solve for x
    x = 922,275,215.60/43,657.65
  6. Step 6: Final answer
    x = 21,125.17

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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.