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Finding the Fourth Proportional to 47,459, 65,492.34 and 26,238.44

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Solution

The fourth proportional to 47,459, 65,492.34 and 26,238.44 is: 36,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,459 : 65,492.34 = 26,238.44 : x
  2. Step 2: Convert to fraction form
    47,459/65,492.34 = 26,238.44/x
  3. Step 3: Cross multiply
    47,459x = 65,492.34 × 26,238.44
  4. Step 4: Simplify right side
    47,459x = 1,718,416,833.55
  5. Step 5: Solve for x
    x = 1,718,416,833.55/47,459
  6. Step 6: Final answer
    x = 36,208.45

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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.