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Finding the Fourth Proportional to 29,457.84, 44,210.12 and 15,422.16

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Solution

The fourth proportional to 29,457.84, 44,210.12 and 15,422.16 is: 23,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,457.84 : 44,210.12 = 15,422.16 : x
  2. Step 2: Convert to fraction form
    29,457.84/44,210.12 = 15,422.16/x
  3. Step 3: Cross multiply
    29,457.84x = 44,210.12 × 15,422.16
  4. Step 4: Simplify right side
    29,457.84x = 681,815,544.26
  5. Step 5: Solve for x
    x = 681,815,544.26/29,457.84
  6. Step 6: Final answer
    x = 23,145.47

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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.