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Finding the Fourth Proportional to 31,492, 43,459.04 and 17,346.16

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Solution

The fourth proportional to 31,492, 43,459.04 and 17,346.16 is: 23,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,492 : 43,459.04 = 17,346.16 : x
  2. Step 2: Convert to fraction form
    31,492/43,459.04 = 17,346.16/x
  3. Step 3: Cross multiply
    31,492x = 43,459.04 × 17,346.16
  4. Step 4: Simplify right side
    31,492x = 753,847,461.29
  5. Step 5: Solve for x
    x = 753,847,461.29/31,492
  6. Step 6: Final answer
    x = 23,937.74

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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.