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Finding the Fourth Proportional to 31,604.84, 43,614.68 and 17,457.68

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Solution

The fourth proportional to 31,604.84, 43,614.68 and 17,457.68 is: 24,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.84 : 43,614.68 = 17,457.68 : x
  2. Step 2: Convert to fraction form
    31,604.84/43,614.68 = 17,457.68/x
  3. Step 3: Cross multiply
    31,604.84x = 43,614.68 × 17,457.68
  4. Step 4: Simplify right side
    31,604.84x = 761,411,126.74
  5. Step 5: Solve for x
    x = 761,411,126.74/31,604.84
  6. Step 6: Final answer
    x = 24,091.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.