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Finding the Fourth Proportional to 47,297.64, 65,269.38 and 26,076.92

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Solution

The fourth proportional to 47,297.64, 65,269.38 and 26,076.92 is: 35,985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,297.64 : 65,269.38 = 26,076.92 : x
  2. Step 2: Convert to fraction form
    47,297.64/65,269.38 = 26,076.92/x
  3. Step 3: Cross multiply
    47,297.64x = 65,269.38 × 26,076.92
  4. Step 4: Simplify right side
    47,297.64x = 1,702,024,400.71
  5. Step 5: Solve for x
    x = 1,702,024,400.71/47,297.64
  6. Step 6: Final answer
    x = 35,985.40

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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.