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Finding the Fourth Proportional to 47,618, 65,712.84 and 26,400.50

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Solution

The fourth proportional to 47,618, 65,712.84 and 26,400.50 is: 36,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,618 : 65,712.84 = 26,400.50 : x
  2. Step 2: Convert to fraction form
    47,618/65,712.84 = 26,400.50/x
  3. Step 3: Cross multiply
    47,618x = 65,712.84 × 26,400.50
  4. Step 4: Simplify right side
    47,618x = 1,734,851,832.42
  5. Step 5: Solve for x
    x = 1,734,851,832.42/47,618
  6. Step 6: Final answer
    x = 36,432.69

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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.